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Popular >

simplify 6sqrt(392)

Solution

simplify

6392

Solution

842

+1

Decimal Notation

118.79393 \dots

Solution steps

6392

Prime factorization of

392 : 2^{3} \cdot 7^{2}

= 6 2^{3} \cdot 7^{2}

Apply exponent rule:

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

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

= 6 2^{2} \cdot 2 \cdot 7^{2}

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

= 6 2^{2} 2 7^{2}

Apply radical rule:

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

2^{2} = 2

= 6 \cdot 22 7^{2}

Apply radical rule:

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

7^{2} = 7

= 6 \cdot 22 \cdot 7

Multiply the numbers:

2 \cdot 7 = 14

= 6 \cdot 142

Multiply the numbers:

6 \cdot 14 = 84

= 842

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Frequently Asked Questions (FAQ)

What is 6sqrt(392) ?
The solution to 6sqrt(392) is 84sqrt(2)