Square Root of 49

Calculate √49 instantly — exact value, step-by-step explanation, and properties.

√49 =
7
✓ Perfect Square

How to Calculate √49

The square root of 49 is exactly 7. This is because 7 × 7 = 49. Since 49 is a perfect square, its square root is a whole number. You can verify: 7² = 7 × 7 = 49.

√49 = 7 (because 7 × 7 = 49)

Properties of √49

Perfect Square?

Yes

49 = 7², so its square root is a whole number.

Decimal Value

7

Exact integer result.

Square Root Symbol

√49

Also written as 49^(1/2) or 49^0.5 in programming.

Related Square Root Values

Reference table of square roots near 49 for quick comparison.

Number Square Root Perfect Square? Simplified
√48 6.928203 No 4√3
√50 7.071067 No 5√2
√45 6.708203 No 3√5
√40 6.324555 No 2√10
√36 6 Yes 6
√64 8 Yes 8
√32 5.656854 No 4√2
√30 5.477225 No
√27 5.196152 No 3√3
√72 8.485281 No 6√2

Frequently Asked Questions

What is the square root of 49?

The square root of 49 is exactly 7. Since 49 is a perfect square, √49 = 7.

Is 49 a perfect square?

Yes, 49 is a perfect square. It equals 7², meaning 7 × 7 = 49.

How do you calculate √49 by hand?

Since 49 is a perfect square, you can find √49 by identifying which integer multiplied by itself equals 49. The answer is 7, because 7 × 7 = 49.

What is √49 in simplified radical form?

√49 = 7. Since it's a perfect square, no radical form is needed.

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