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Popular >

simplify sqrt(1352)

Solution

simplify

1352

Solution

262

+1

Solution steps

1352

Prime factorization of

1352 : 2^{3} \cdot 1 3^{2}

= 2^{3} \cdot 1 3^{2}

Apply exponent rule:

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

2^{3} \cdot 1 3^{2} = 2^{2} \cdot 2 \cdot 1 3^{2}

= 2^{2} \cdot 2 \cdot 1 3^{2}

2^{2} \cdot 2 \cdot 1 3^{2} = 2^{2} 2 1 3^{2}

= 2^{2} 2 1 3^{2}

Apply radical rule:

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

2^{2} = 2

= 22 1 3^{2}

Apply radical rule:

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

1 3^{2} = 13

= 22 \cdot 13

Multiply the numbers:

2 \cdot 13 = 26

= 262

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Frequently Asked Questions (FAQ)

What is sqrt(1352) ?
The solution to sqrt(1352) is 26sqrt(2)