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Popular >

simplify sqrt(544)

Solution

simplify

544

Solution

434

+1

Solution steps

544

Prime factorization of

544 : 2^{5} \cdot 17

= 2^{5} \cdot 17

Apply exponent rule:

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

2^{5} \cdot 17 = 2^{4} \cdot 2 \cdot 17

= 2^{4} \cdot 2 \cdot 17

Apply radical rule:

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

2^{4} \cdot 2 \cdot 17 = 2^{4} 2 \cdot 17

= 2^{4} 2 \cdot 17

2^{4} = 4

= 4 2 \cdot 17

Multiply the numbers:

2 \cdot 17 = 34

= 434

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Frequently Asked Questions (FAQ)

What is sqrt(544) ?
The solution to sqrt(544) is 4sqrt(34)