Square Root of 100000

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What is the square root of 100,000?

Answer

√100,000 ≈ 316.2277660168

√100,000 = 100√10

√100,000 is irrational: its decimals never end and never repeat — rounded to 10 decimal places. √ is the non-negative root; x² = 100,000 also has −√100,000 ≈ −316.2277660168.

√100,000 ≈ 316.2277660168
99,856 = 316²100,489 = 317²
Between squares
316² = 99,856 < 100,000 < 100,489 = 317², so 316 < √100,000 < 317
Simplified
100,000 = 100² × 10, so √100,000 = 100√10

See Also

Square Root Table

NumberSquare RootPerfect Square
7,00083.6660026534No
7,05684Yes
7,22585Yes
7,39686Yes
7,56987Yes
7,74488Yes
7,92189Yes
8,00089.4427191No
8,10090Yes
8,28191Yes
8,46492Yes
8,83694Yes
9,00094.8683298051No
9,02595Yes
9,21696Yes
9,40997Yes
9,60498Yes
9,80199Yes
10,000100Yes
12,345111.1080555135No
15,000122.4744871392No
20,000141.4213562373No
25,000158.1138830084No
30,000173.2050807569No
40,000200Yes
50,000223.60679775No
100,000316.2277660168No
250,000500Yes
500,000707.1067811865No
1,000,0001,000Yes

FAQ

What is the square root of 100,000?

√100,000 ≈ 316.2277660168

Is 100,000 a perfect square?

No, 100,000 is not a perfect square because its square root is irrational: √100,000 ≈ 316.2277660168

Between which whole numbers does the square root of 100,000 lie?

√100,000 lies between 316 and 317, because 316² = 99,856 and 317² = 100,489. The root itself is irrational: √100,000 ≈ 316.2277660168, and its decimals never end and never repeat.