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

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

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

The square root of 961, (or source 961), is the number which once multiplied through itself offers the product together 961. Therefore, the square source of 961 = √961 = 31.

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Value that √961 through Long department Method

Explanation:

Forming pairs: 09 and 61Find a number Y (3) such the whose square is lug down the following pair 61, come the ideal of the remainder 0. The brand-new dividend is now 61.Add the critical digit the the quotient (3) come the divisor (3) i.e. 3 + 3 = 6. Come the right of 6, uncover a digit Z (which is 1) such the 6Z × Z division 61 by 61 v the quotient together 1, providing the remainder = 61 - 61 × 1 = 61 - 61 = 0.We protect against the process since the remainder is now 0 and also there are no an ext digits that have the right to be lugged down.

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


Is Square source of 961 Rational?


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

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Square source of 961 fixed Examples


Example 1: resolve the equation x2 − 961 = 0

Solution:

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


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

Solution:

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


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FAQs on the Square source of 961

What is the worth of the Square source of 961?

The square source of 961 is 31.

Why is the Square root of 961 a reasonable Number?

Upon prime factorizing 961 i.e. 312, we find that every the prime determinants are in even power. This suggests that the square root of 961 is a hopeful integer. Therefore, the square root of 961 is rational.

What is the Square source of -961?

The square source of -961 is an imagine number. It can be composed as √-961 = √-1 × √961 = i √961 = 31iwhere i = √-1 and also it is referred to as the imagine unit.

If the Square root of 961 is 31. Uncover the value of the Square source of 9.61.

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Let us stand for √9.61 in p/q type 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 as the product of its prime factors i.e. 961 = 31 × 31 . Therefore, as visible, the radical type of the square root of 961 can not be simplified further. Therefore, in the easiest radical kind of the square source of 961 deserve to be composed as √961.

Evaluate 5 to add 10 square root 961

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