Square Root of 1

Calculate √1 instantly — exact value, step-by-step explanation, and properties.

√1 =
1
✓ Perfect Square

How to Calculate √1

The square root of 1 is exactly 1. This is because 1 × 1 = 1. Since 1 is a perfect square, its square root is a whole number. You can verify: 1² = 1 × 1 = 1.

√1 = 1 (because 1 × 1 = 1)

Properties of √1

Perfect Square?

Yes

1 = 1², so its square root is a whole number.

Decimal Value

1

Exact integer result.

Square Root Symbol

√1

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

Related Square Root Values

Reference table of square roots near 1 for quick comparison.

Number Square Root Perfect Square? Simplified
√2 1.414213 No
√3 1.732050 No
√4 2 Yes 2
√5 2.236067 No
√6 2.449489 No
√7 2.645751 No
√8 2.828427 No 2√2
√9 3 Yes 3
√10 3.162277 No
√12 3.464101 No 2√3

Frequently Asked Questions

What is the square root of 1?

The square root of 1 is exactly 1. Since 1 is a perfect square, √1 = 1.

Is 1 a perfect square?

Yes, 1 is a perfect square. It equals 1², meaning 1 × 1 = 1.

How do you calculate √1 by hand?

Since 1 is a perfect square, you can find √1 by identifying which integer multiplied by itself equals 1. The answer is 1, because 1 × 1 = 1.

What is √1 in simplified radical form?

√1 = 1. Since it's a perfect square, no radical form is needed.

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