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Popular >

simplify 5sqrt(343)

Solution

simplify

5343

Solution

357

+1

Decimal Notation

92.60129 \dots

Solution steps

5343

Prime factorization of

343 : 7^{3}

= 5 7^{3}

Apply exponent rule:

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

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

= 5 7^{2} \cdot 7

Apply radical rule:

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

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

= 5 7^{2} 7

Apply radical rule:

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

7^{2} = 7

= 5 \cdot 77

Multiply the numbers:

5 \cdot 7 = 35

= 357

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Frequently Asked Questions (FAQ)

What is 5sqrt(343) ?
The solution to 5sqrt(343) is 35sqrt(7)