Square roots·√74
√74 =
√74
≈ 8.602325

Square root of 74 — 8.602325 (√74)

Irrational

The square root of 74 is about 8.602325, or exactly √74. It lies between 8 and 9.

As a decimal
≈ 8.602325
Simplified surd
√74 = √74
Between
8 < √74 < 9
Squared
74² = 5476
Cube root
∛74 ≈ 4.198336

Nearby numbers

√71 = √71√72 = 6√2√73 = √73√75 = 5√3√76 = 2√19√77 = √77

From 1 to 200

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How to read this

  • The decimal is rounded; the surd form is the exact value.
  • Pulling out a square factor simplifies the surd — √50 = 5√2.
  • If the number is not a perfect square, the decimal never ends (irrational).
  • Knowing which two integers it sits between is enough to estimate in your head.

Frequently asked questions

Q. What is the square root of 74?

About 8.602325, or exactly √74.

Q. Can the surd be simplified?

No — there is no square factor to pull out.

Q. Between which integers does it fall?

Between 8 and 9.

Q. What is the cube root of 74?

About 4.198336.