√137 = 11.7046999107. 137 is not a perfect square; the result is irrational.

Is 137 a perfect square?

No, 137 is not a perfect square. Its square root is irrational.

What is 11.7046999107 squared?

11.7046999107 squared is approximately 137. (11.7046999107)² ≈ 137

Instant answer with step-by-step solution

√137 = 11.7046999107

√137 = 11.7046999107

⚠ 137 is not a perfect square — result rounded to 10 significant figures

We need to find √137 — a number that when multiplied by itself equals 137.
137 is not a perfect square. Its square root is irrational.
It falls between √121 = 11 and √144 = 12.
Using the formula √N = N^(1/2): √137 = 137^0.5 = 11.7046999107
Verification: 11.7046999107 × 11.7046999107 ≈ 137 ✓ (rounded to 10 significant figures)

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