Square Root of 169

Calculate √169 instantly — exact value, step-by-step explanation, and properties.

√169 =
13
✓ Perfect Square

How to Calculate √169

The square root of 169 is exactly 13. This is because 13 × 13 = 169. Since 169 is a perfect square, its square root is a whole number. You can verify: 13² = 13 × 13 = 169.

√169 = 13 (because 13 × 13 = 169)

Properties of √169

Perfect Square?

Yes

169 = 13², so its square root is a whole number.

Decimal Value

13

Exact integer result.

Square Root Symbol

√169

Also written as 169^(1/2) or 169^0.5 in programming.

Related Square Root Values

Reference table of square roots near 169 for quick comparison.

Number Square Root Perfect Square? Simplified
√150 12.247448 No 5√6
√144 12 Yes 12
√196 14 Yes 14
√200 14.142135 No 10√2
√125 11.180339 No 5√5
√121 11 Yes 11
√225 15 Yes 15
√100 10 Yes 10
√90 9.486832 No 3√10
√256 16 Yes 16

Frequently Asked Questions

What is the square root of 169?

The square root of 169 is exactly 13. Since 169 is a perfect square, √169 = 13.

Is 169 a perfect square?

Yes, 169 is a perfect square. It equals 13², meaning 13 × 13 = 169.

How do you calculate √169 by hand?

Since 169 is a perfect square, you can find √169 by identifying which integer multiplied by itself equals 169. The answer is 13, because 13 × 13 = 169.

What is √169 in simplified radical form?

√169 = 13. Since it's a perfect square, no radical form is needed.

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