Square Root of 400
Calculate √400 instantly — exact value, step-by-step explanation, and properties.
How to Calculate √400
The square root of 400 is exactly 20. This is because 20 × 20 = 400. Since 400 is a perfect square, its square root is a whole number. You can verify: 20² = 20 × 20 = 400.
√400 = 20 (because 20 × 20 = 400) Properties of √400
Perfect Square?
Yes
400 = 20², so its square root is a whole number.
Decimal Value
20
Exact integer result.
Square Root Symbol
√400
Also written as 400^(1/2) or 400^0.5 in programming.
Frequently Asked Questions
What is the square root of 400?
The square root of 400 is exactly 20. Since 400 is a perfect square, √400 = 20.
Is 400 a perfect square?
Yes, 400 is a perfect square. It equals 20², meaning 20 × 20 = 400.
How do you calculate √400 by hand?
Since 400 is a perfect square, you can find √400 by identifying which integer multiplied by itself equals 400. The answer is 20, because 20 × 20 = 400.
What is √400 in simplified radical form?
√400 = 20. Since it's a perfect square, no radical form is needed.