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Popular >

simplify 8sqrt(343)

Solution

simplify

8343

Solution

567

+1

Solution steps

8343

Prime factorization of

343 : 7^{3}

= 8 7^{3}

Apply exponent rule:

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

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

= 8 7^{2} \cdot 7

Apply radical rule:

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

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

= 8 7^{2} 7

Apply radical rule:

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

7^{2} = 7

= 8 \cdot 77

Multiply the numbers:

8 \cdot 7 = 56

= 567

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Frequently Asked Questions (FAQ)

What is 8sqrt(343) ?
The solution to 8sqrt(343) is 56sqrt(7)