Simplify Square Root Calculator
Simplify \( \sqrt{N} \) using prime factorization. Step-by-step explanations.
Enter a positive integer
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Simplify \( \sqrt{N} \)
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Enter a number and click "Simplify \( \sqrt{N} \)"
Examples
\( \sqrt{72} = 6\sqrt{2} \) | \( \sqrt{128} = 8\sqrt{2} \) | \( \sqrt{180} = 6\sqrt{5} \) | \( \sqrt{7} \) cannot be simplified (prime)
Square root rule:
group prime factors in pairs. Each pair becomes one factor outside the radical.
Cannot simplify when:
the number has no prime factor appearing 2 or more times (e.g., prime numbers, product of distinct primes).