Square Root of 256

Calculate √256 instantly — exact value, step-by-step explanation, and properties.

√256 =
16
✓ Perfect Square

How to Calculate √256

The square root of 256 is exactly 16. This is because 16 × 16 = 256. Since 256 is a perfect square, its square root is a whole number. You can verify: 16² = 16 × 16 = 256.

√256 = 16 (because 16 × 16 = 256)

Properties of √256

Perfect Square?

Yes

256 = 16², so its square root is a whole number.

Decimal Value

16

Exact integer result.

Square Root Symbol

√256

Also written as 256^(1/2) or 256^0.5 in programming.

Related Square Root Values

Reference table of square roots near 256 for quick comparison.

Number Square Root Perfect Square? Simplified
√225 15 Yes 15
√289 17 Yes 17
√200 14.142135 No 10√2
√196 14 Yes 14
√324 18 Yes 18
√169 13 Yes 13
√361 19 Yes 19
√150 12.247448 No 5√6
√144 12 Yes 12
√125 11.180339 No 5√5

Frequently Asked Questions

What is the square root of 256?

The square root of 256 is exactly 16. Since 256 is a perfect square, √256 = 16.

Is 256 a perfect square?

Yes, 256 is a perfect square. It equals 16², meaning 16 × 16 = 256.

How do you calculate √256 by hand?

Since 256 is a perfect square, you can find √256 by identifying which integer multiplied by itself equals 256. The answer is 16, because 16 × 16 = 256.

What is √256 in simplified radical form?

√256 = 16. Since it's a perfect square, no radical form is needed.

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