Square Root of 64

Calculate √64 instantly — exact value, step-by-step explanation, and properties.

√64 =
8
✓ Perfect Square

How to Calculate √64

The square root of 64 is exactly 8. This is because 8 × 8 = 64. Since 64 is a perfect square, its square root is a whole number. You can verify: 8² = 8 × 8 = 64.

√64 = 8 (because 8 × 8 = 64)

Properties of √64

Perfect Square?

Yes

64 = 8², so its square root is a whole number.

Decimal Value

8

Exact integer result.

Square Root Symbol

√64

Also written as 64^(1/2) or 64^0.5 in programming.

Related Square Root Values

Reference table of square roots near 64 for quick comparison.

Number Square Root Perfect Square? Simplified
√72 8.485281 No 6√2
√75 8.660254 No 5√3
√50 7.071067 No 5√2
√49 7 Yes 7
√48 6.928203 No 4√3
√80 8.944271 No 4√5
√81 9 Yes 9
√45 6.708203 No 3√5
√40 6.324555 No 2√10
√90 9.486832 No 3√10

Frequently Asked Questions

What is the square root of 64?

The square root of 64 is exactly 8. Since 64 is a perfect square, √64 = 8.

Is 64 a perfect square?

Yes, 64 is a perfect square. It equals 8², meaning 8 × 8 = 64.

How do you calculate √64 by hand?

Since 64 is a perfect square, you can find √64 by identifying which integer multiplied by itself equals 64. The answer is 8, because 8 × 8 = 64.

What is √64 in simplified radical form?

√64 = 8. Since it's a perfect square, no radical form is needed.

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