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Popular >

simplify sqrt(456)

Solution

simplify

456

Solution

2114

+1

Solution steps

456

Prime factorization of

456 : 2^{3} \cdot 3 \cdot 19

= 2^{3} \cdot 3 \cdot 19

Apply exponent rule:

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

2^{3} \cdot 3 \cdot 19 = 2^{2} \cdot 2 \cdot 3 \cdot 19

= 2^{2} \cdot 2 \cdot 3 \cdot 19

Apply radical rule:

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

2^{2} \cdot 2 \cdot 3 \cdot 19 = 2^{2} 2 \cdot 3 \cdot 19

= 2^{2} 2 \cdot 3 \cdot 19

Apply radical rule:

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

2^{2} = 2

= 2 2 \cdot 3 \cdot 19

Multiply the numbers:

2 \cdot 3 \cdot 19 = 114

= 2114

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Frequently Asked Questions (FAQ)

What is sqrt(456) ?
The solution to sqrt(456) is 2sqrt(114)