Square Root of 961

Calculate √961 instantly — exact value, step-by-step explanation, and properties.

√961 =
31
✓ Perfect Square

How to Calculate √961

The square root of 961 is exactly 31. This is because 31 × 31 = 961. Since 961 is a perfect square, its square root is a whole number. You can verify: 31² = 31 × 31 = 961.

√961 = 31 (because 31 × 31 = 961)

Properties of √961

Perfect Square?

Yes

961 = 31², so its square root is a whole number.

Decimal Value

31

Exact integer result.

Square Root Symbol

√961

Also written as 961^(1/2) or 961^0.5 in programming.

Related Square Root Values

Reference table of square roots near 961 for quick comparison.

Number Square Root Perfect Square? Simplified
√1000 31.622776 No 10√10
√900 30 Yes 30
√1024 32 Yes 32
√841 29 Yes 29
√784 28 Yes 28
√729 27 Yes 27
√676 26 Yes 26
√625 25 Yes 25
√576 24 Yes 24
√529 23 Yes 23

Frequently Asked Questions

What is the square root of 961?

The square root of 961 is exactly 31. Since 961 is a perfect square, √961 = 31.

Is 961 a perfect square?

Yes, 961 is a perfect square. It equals 31², meaning 31 × 31 = 961.

How do you calculate √961 by hand?

Since 961 is a perfect square, you can find √961 by identifying which integer multiplied by itself equals 961. The answer is 31, because 31 × 31 = 961.

What is √961 in simplified radical form?

√961 = 31. Since it's a perfect square, no radical form is needed.

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