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Popular >

simplify sqrt(616)

Solution

simplify

616

Solution

2154

+1

Decimal Notation

24.81934 \dots

Solution steps

616

Prime factorization of

616 : 2^{3} \cdot 7 \cdot 11

= 2^{3} \cdot 7 \cdot 11

Apply exponent rule:

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

2^{3} \cdot 7 \cdot 11 = 2^{2} \cdot 2 \cdot 7 \cdot 11

= 2^{2} \cdot 2 \cdot 7 \cdot 11

Apply radical rule:

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

2^{2} \cdot 2 \cdot 7 \cdot 11 = 2^{2} 2 \cdot 7 \cdot 11

= 2^{2} 2 \cdot 7 \cdot 11

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 7 \cdot 11

Multiply the numbers:

2 \cdot 7 \cdot 11 = 154

= 2154

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Frequently Asked Questions (FAQ)

What is sqrt(616) ?
The solution to sqrt(616) is 2sqrt(154)