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Popular >

simplify sqrt(825)

Solution

simplify

825

Solution

533

+1

Decimal Notation

28.72281 \dots

Solution steps

825

Prime factorization of

825 : 3 \cdot 5^{2} \cdot 11

= 3 \cdot 5^{2} \cdot 11

Apply radical rule:

ab = a b, a \geq 0, b \geq 0

3 \cdot 5^{2} \cdot 11 = 5^{2} 3 \cdot 11

= 5^{2} 3 \cdot 11

Apply radical rule:

a^{2} = a, a \geq 0

5^{2} = 5

= 5 3 \cdot 11

Multiply the numbers:

3 \cdot 11 = 33

= 533

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Frequently Asked Questions (FAQ)

What is sqrt(825) ?
The solution to sqrt(825) is 5sqrt(33)