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Popular >

simplify 5sqrt(243)

Solution

simplify

5243

Solution

453

+1

Solution steps

5243

Prime factorization of

243 : 3^{5}

= 5 3^{5}

Apply exponent rule:

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

3^{5} = 3^{4} \cdot 3

= 5 3^{4} \cdot 3

Apply radical rule:

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

3^{4} \cdot 3 = 3^{4} 3

= 5 3^{4} 3

3^{4} = 9

= 5 \cdot 93

Multiply the numbers:

5 \cdot 9 = 45

= 453

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Frequently Asked Questions (FAQ)

What is 5sqrt(243) ?
The solution to 5sqrt(243) is 45sqrt(3)