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Popular >

simplify sqrt(792)

Solution

simplify

792

Solution

622

+1

Solution steps

792

Prime factorization of

792 : 2^{3} \cdot 3^{2} \cdot 11

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

Apply exponent rule:

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

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

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

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

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

Apply radical rule:

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

2^{2} = 2

= 2 3^{2} 2 \cdot 11

Apply radical rule:

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

3^{2} = 3

= 2 \cdot 3 2 \cdot 11

Multiply the numbers:

2 \cdot 3 = 6

= 6 2 \cdot 11

Multiply the numbers:

2 \cdot 11 = 22

= 622

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Frequently Asked Questions (FAQ)

What is sqrt(792) ?
The solution to sqrt(792) is 6sqrt(22)