The square root of 961 is expressed as √961 in the radical form and as (961)½ or (961)0.5 in the exponent form. The square root of 961 is 31. The is the positive solution that the equation x2 = 961. The number 961 is a perfect square.

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Square root of 961: 31Square root of 961 in exponential form: (961)½ or (961)0.5Square source of 961 in radical form: √961

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1.What is the Square root of 961?
2.How to find the Square root of 961?
3.Is the Square root of 961 Rational?
4.FAQs

The square root of 961, (or root 961), is the number which as soon as multiplied by itself gives the product as 961. Therefore, the square root of 961 = √961 = 31.

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Value the √961 by Long department Method

Explanation:

Forming pairs: 09 and 61Find a number Y (3) such that whose square is carry down the following pair 61, come the appropriate of the remainder 0. The brand-new dividend is currently 61.Add the critical digit that the quotient (3) to the divisor (3) i.e. 3 + 3 = 6. To the best of 6, discover a digit Z (which is 1) such the 6Z × Z divide 61 through 61 with the quotient together 1, providing the remainder = 61 - 61 × 1 = 61 - 61 = 0.We prevent the process since the remainder is now 0 and also there room no more digits that can be lugged down.

Therefore, the square root of 961 by long department method is 31.


Is Square source of 961 Rational?


The value of √961 is 31. Hence, the square root of 961 is a rational number.

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Square root of 961 addressed Examples


Example 1: deal with the equation x2 − 961 = 0

Solution:

x2 - 961 = 0 i.e. X2 = 961x = ±√961Since the value of the square root of 961 is 31,⇒ x = +√961 or -√961 = 31 or -31.


Example 3: If the area the a circle is 961π in2. Discover the radius the the circle.

Solution:

Let "r" it is in the radius that the circle.⇒ Area the the circle = πr2 = 961π in2⇒ r = ±√961 inSince radius can"t be negative,⇒ r = √961Square source of 961 is 31.⇒ r = 31 in


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FAQs ~ above the Square source of 961

What is the value of the Square source of 961?

The square root of 961 is 31.

Why is the Square source of 961 a reasonable Number?

Upon element factorizing 961 i.e. 312, we discover that every the prime factors are in even power. This suggests that the square root of 961 is a positive integer. Therefore, the square source of 961 is rational.

What is the Square source of -961?

The square root of -961 is an imaginary number. It have the right to be created as √-961 = √-1 × √961 = i √961 = 31iwhere i = √-1 and it is dubbed the imagine unit.

If the Square root of 961 is 31. Find the value of the Square root of 9.61.

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Let us represent √9.61 in p/q kind i.e. √(961/100) = 9.61/10 = 3. Hence, the value of √9.61 = 3

What is the Square root of 961 in most basic Radical Form?

We should express 961 together the product the its prime components i.e. 961 = 31 × 31 . Therefore, together visible, the radical type of the square source of 961 cannot be simplified further. Therefore, in the easiest radical kind of the square source of 961 have the right to be created as √961.

Evaluate 5 plus 10 square root 961

The provided expression is 5 + 10 √961. We know that the square source of 961 is 31. Therefore, 5 + 10 √961 = 5 + 10 × 31 = 5 + 310 = 315