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Popular >

simplify sqrt(1625)

Solution

simplify

1625

Solution

565

+1

Decimal Notation

40.31128 \dots

Solution steps

1625

Prime factorization of

1625 : 5^{3} \cdot 13

= 5^{3} \cdot 13

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

5^{3} \cdot 13 = 5^{2} \cdot 5 \cdot 13

= 5^{2} \cdot 5 \cdot 13

Apply radical rule:

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

5^{2} \cdot 5 \cdot 13 = 5^{2} 5 \cdot 13

= 5^{2} 5 \cdot 13

Apply radical rule:

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

5^{2} = 5

= 5 5 \cdot 13

Multiply the numbers:

5 \cdot 13 = 65

= 565

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Frequently Asked Questions (FAQ)

What is sqrt(1625) ?
The solution to sqrt(1625) is 5sqrt(65)