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Popular >

simplify sqrt(520)

Solution

simplify

520

Solution

2130

+1

Decimal Notation

22.80350 \dots

Solution steps

520

Prime factorization of

520 : 2^{3} \cdot 5 \cdot 13

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

Apply exponent rule:

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

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

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

Apply radical rule:

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 5 \cdot 13

Multiply the numbers:

2 \cdot 5 \cdot 13 = 130

= 2130

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Frequently Asked Questions (FAQ)

What is sqrt(520) ?
The solution to sqrt(520) is 2sqrt(130)