Simplify 7/( Square Root Of 149) | Mathway ~ Press News

The cube root of 149 is the number, which multiplied by itself three times, is 149. In other words, this number to the power of 3 equals 149. Besides the real value of along with an explanation, on this page you can also find what the elements of the cube root of 149 are called.The square root of 149 in mathematical form is written with the radical sign like this √149. We call this the square root of 149 in radical form. The square root of 149 is a quantity (q) that when multiplied by itself will equal 149. √ 149 = q × q = q 2Estimating an n th Root. Calculating n th roots can be done using a similar method, with modifications to deal with n.While computing square roots entirely by hand is tedious. Estimating higher n th roots, even if using a calculator for intermediary steps, is significantly more tedious. For those with an understanding of series, refer here for a more mathematical algorithm for calculating n thFree math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.Square number and perfect square mean the same thing. Anyway, for 149 to be a square number, 149 must be the product of an integer multiplied by itself. In other words, the square root of 149 must equal a whole number (integer). There is no integer that you can multiply by itself that will make 149. Furthermore, the square root of 149 is not an

Square Root of 149 (√149)

What is the square root of 149? and show me how to find the answer. Answers: 3 Get Other questions on the subject: Mathematics. Mathematics, 21.06.2019 20:00, Yumimiku5989. Which number completes the inequality? 2/3 < _ < 7/9. Answers: 1. continue. Mathematics, 21.06.2019 21:30The square root of 149 will be between 12 and 13, closer to 12. 12.1 is too low, 12.3 is too high. Go with 12.2149 ≈ 12.206555615733702 (This link will show the same work that you can see on this page) You can calculate the square root of any number, just change 149 up above in the textbox.Square Root Of 149? About Number 1. The number 1 is not a prime number, but a divider for every natural number. It is often taken as the smallest natural number (however, some authors include the natural numbers from zero).

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The square root of 149 by long division method explain Get the answers you need, now! smaheshwary27 smaheshwary27 27.04.2020 Math Secondary School answered The square root of 149 by long division method explain 2 See answers Brainly User Brainly User Answer: vk[npb8-';nbb0 v-p[' explanation:There you go. The sum of the first 149 square numbers is 1113775. You may also be interested to know that if you list the first 149 square numbers 1, 2, 9, etc., the 149th square number is 22201. Sum of Square Numbers CalculatorThe square root of 149 is written as (149) 1/2 in the exponential form. The square root of 149 is written as √149 in the radical form. The square root of 149 in the decimal form is 12.2065 Is Square Root of 149 Rational or Irrational?Hexadecimal representation is 95. Square of the number 149 is 22201. Square root of the number 149 is 12.206555615734. Natural logarithm of 149 is 5.0039463059455 Decimal logarithm of the number 149 is 2.1731862684123 Sine of 149 is -0.97464864809449.You can calculate the square root of any number , just change 148 up above in the textbox. See similar problems: what is square root of 149 in simplest radical form?

The square root of 149 is expressed as √149 in the radical shape and as (149)½ or (149)0.Five in the exponent form. The square root of 149 rounded as much as 5 decimal places is 12.20656. It is the certain solution of the equation x2 = 149.

Square Root of 149: 12.206555615733702 Square Root of 149 in exponential form: (149)½ or (149)0.5 Square Root of 149 in radical form: √149

What Is the Square Root of 149?

The square root of 149 is written as (149)1/2 within the exponential shape. The square root of 149 is written as √149 within the radical form. The square root of 149 within the decimal shape is 12.2065

Is Square Root of 149 Rational or Irrational?

The square root of 149 isn't an integer. A rational number is defined as a host that may be represented in the ratio of two integers (p/q) the place q ≠ 0. Since the square root of 149 cannot be written in the shape of p/q, it is an irrational number.

How to Find the Square Root of 149?

We will now calculate the square root of 149 the use of the following strategies:

Square Root of 149 Using Approximation Method Find two consecutive absolute best squares between which 149 lies. In the case of 149, the perfect squares are 144 (122) and 169 (132). Thus, the whole number phase of the square root of 149 is 12. Now, for the decimal part, we can use the under formula: (Given quantity – Smaller perfect square) / (Greater easiest square – smaller very best square) = (149 – 144)/(169 – 144) = 5/25 = 0.20 Hence, the approx. price of the square root of 149 by way of the approximation manner is 12.20 Square Root of 149 By Long Division

With the help of the next steps, we will be able to calculate the square root of 149 by the lengthy department method.

Start pairing the digits via striking a bar on best of them from the unit's position in pairs of two. In the case of 149, we can have two pairs Forty nine and 1(pairing from the precise). Now, discover a quantity(N) whose square is ≤ 1. The price of N might be 1 as 1 × 1 = 1≤ 1. We get the quotient (1). Add the divisor N (1) with itself and we get the new divisor as 2N (2). Drag the following pair of numbers down. The new dividend is 049. Find a number (q) such that 2q × q ≤ 49. The worth of q will probably be 2. Now, put a decimal in the dividend at the finish of 149 and in the quotient at the finish of 12. Also, place 3 pairs of zeros within the dividend after the decimal. Repeat the above steps for the remaining 3 pairs of 0.

So, we get the price of the square root of √149 = 12.206 through the lengthy department manner.

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Important Notes:

The square root of 149 is an irrational quantity. The quantity 149 isn't an excellent square. The square root of -149 is an imaginary quantity.

Square Root of 149 Solved Examples

Example 1: What is the % error within the value of √149 calculated by means of the approximation means?

Solution: The worth of √149 by means of the approximation method = 12.2000 The precise value of the square root of 149 = 12.2065 Error in the price of √149 = 12.2065 – 12.2000 = 0.0065 % Error = (0.0065/12.2065) × 100 = 0.053%

Example 2: √149 + 4√149 is the square root of which integer?

Solution: The worth of √149 + 4√149 = 5√149 We know that 5√149 = √(149 × 5 × 5 ) = √3725 Therefore, √149 + 4√149 is the square root of 3725.

Example: If the area of a circle is 149π in2. Find the radius of the circle.

Solution:

Let 'r' be the radius of the circle. ⇒ Area of the circle = πr2 = 149π in2 ⇒ r = ±√149 in Since radius can't be negative, ⇒ r = √149 The square root of 149 is 12.207. ⇒ r = 12.207 in

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FAQs at the Square Root of 149

What is the Value of the Square Root of 149?

The square root of 149 is 12.20655.

Why is the Square Root of 149 an Irrational Number?

The quantity 149 is key. This implies that the number 149 is pairless and isn't within the energy of 2. Therefore, the square root of 149 is irrational.

What is the Square Root of 149 in Simplest Radical Form?

The quantity 149 is a main quantity. This means that the number 149 is pairless and isn't within the energy of 2. Therefore, the radical form of square root of 149 cannot be simplified additional.

Evaluate Sixteen plus 9 square root 149

The given expression is 16 + 9 √149. We know that the square root of 149 is 12.207. Therefore, 16 + 9 √149 = 16 + 9 × 12.207 = 16 + 109.859 = 125.859

Is the number 149 a Perfect Square?

The number 149 is prime. This means that the square root of 149 can't be expressed as a product of two equal integers. Therefore, the quantity 149 is not a perfect square.

What is the Square Root of -149?

The square root of -149 is an imaginary quantity. It will also be written as √-149 = √-1 × √149 = i √149 = 12.206i the place i = √-1 and it is named the imaginary unit.