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Popular >

simplify 4sqrt(343)

Solution

simplify

4343

Solution

287

+1

Solution steps

4343

Prime factorization of

343 : 7^{3}

= 4 7^{3}

Apply exponent rule:

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

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

= 4 7^{2} \cdot 7

Apply radical rule:

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

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

= 4 7^{2} 7

Apply radical rule:

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

7^{2} = 7

= 4 \cdot 77

Multiply the numbers:

4 \cdot 7 = 28

= 287

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Frequently Asked Questions (FAQ)

What is 4sqrt(343) ?
The solution to 4sqrt(343) is 28sqrt(7)