Square Root of 225

Calculate √225 instantly — exact value, step-by-step explanation, and properties.

√225 =
15
✓ Perfect Square

How to Calculate √225

The square root of 225 is exactly 15. This is because 15 × 15 = 225. Since 225 is a perfect square, its square root is a whole number. You can verify: 15² = 15 × 15 = 225.

√225 = 15 (because 15 × 15 = 225)

Properties of √225

Perfect Square?

Yes

225 = 15², so its square root is a whole number.

Decimal Value

15

Exact integer result.

Square Root Symbol

√225

Also written as 225^(1/2) or 225^0.5 in programming.

Related Square Root Values

Reference table of square roots near 225 for quick comparison.

Number Square Root Perfect Square? Simplified
√200 14.142135 No 10√2
√196 14 Yes 14
√256 16 Yes 16
√169 13 Yes 13
√289 17 Yes 17
√150 12.247448 No 5√6
√144 12 Yes 12
√324 18 Yes 18
√125 11.180339 No 5√5
√121 11 Yes 11

Frequently Asked Questions

What is the square root of 225?

The square root of 225 is exactly 15. Since 225 is a perfect square, √225 = 15.

Is 225 a perfect square?

Yes, 225 is a perfect square. It equals 15², meaning 15 × 15 = 225.

How do you calculate √225 by hand?

Since 225 is a perfect square, you can find √225 by identifying which integer multiplied by itself equals 225. The answer is 15, because 15 × 15 = 225.

What is √225 in simplified radical form?

√225 = 15. Since it's a perfect square, no radical form is needed.

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