Square Root of 361

Calculate √361 instantly — exact value, step-by-step explanation, and properties.

√361 =
19
✓ Perfect Square

How to Calculate √361

The square root of 361 is exactly 19. This is because 19 × 19 = 361. Since 361 is a perfect square, its square root is a whole number. You can verify: 19² = 19 × 19 = 361.

√361 = 19 (because 19 × 19 = 361)

Properties of √361

Perfect Square?

Yes

361 = 19², so its square root is a whole number.

Decimal Value

19

Exact integer result.

Square Root Symbol

√361

Also written as 361^(1/2) or 361^0.5 in programming.

Related Square Root Values

Reference table of square roots near 361 for quick comparison.

Number Square Root Perfect Square? Simplified
√324 18 Yes 18
√400 20 Yes 20
√289 17 Yes 17
√441 21 Yes 21
√256 16 Yes 16
√484 22 Yes 22
√225 15 Yes 15
√500 22.360679 No 10√5
√200 14.142135 No 10√2
√196 14 Yes 14

Frequently Asked Questions

What is the square root of 361?

The square root of 361 is exactly 19. Since 361 is a perfect square, √361 = 19.

Is 361 a perfect square?

Yes, 361 is a perfect square. It equals 19², meaning 19 × 19 = 361.

How do you calculate √361 by hand?

Since 361 is a perfect square, you can find √361 by identifying which integer multiplied by itself equals 361. The answer is 19, because 19 × 19 = 361.

What is √361 in simplified radical form?

√361 = 19. Since it's a perfect square, no radical form is needed.

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