Square Root of 1000

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Square root of

What is the square root of 1,000?

Answer

√1,000 = 31.6227766017
The square root of 1,000 is 31.6227766017.
1,000 is not a perfect square. The square root is an irrational number.

Verification

√1,000 = 31.6227766017

31.6227766017 × 31.6227766017 ≈ 1,000

See Also

Square Root Calculator

This calculator will help you find the square root of any number. For example, it can help you find out what is the square root of 1,000? (The answer is: 31.6227766017). Enter a number (e.g. '1000') and hit the 'Calculate' button.
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Square Root Table

NumberSquare RootPerfect Square
44121Yes
48422Yes
50022.360679775No
52923Yes
57624Yes
60024.4948974278No
62525Yes
67626Yes
70026.4575131106No
72927Yes
78428Yes
80028.2842712475No
84129Yes
90030Yes
96131Yes
1,00031.6227766017No
1,02432Yes
1,08933Yes
1,15634Yes
1,22535Yes
1,29636Yes
1,36937Yes
1,44438Yes
1,50038.7298334621No
1,52139Yes
1,60040Yes
1,68141Yes
1,76442Yes
1,84943Yes
1,93644Yes

FAQ

What is the square root of 1,000?

√1,000 = 31.6227766017

Is 1,000 a perfect square?

No, 1,000 is not a perfect square because its square root is 31.6227766017

Between which whole numbers does the square root of 1,000 lie?

√1,000 lies between 31 and 32, because 31² = 961 and 32² = 1,024. The exact value, 31.6227766017, is irrational: its decimals never end and never repeat.