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Popular >

simplify 2sqrt(243)

Solution

simplify

2243

Solution

183

+1

Decimal Notation

31.17691 \dots

Solution steps

2243

Prime factorization of

243 : 3^{5}

= 2 3^{5}

Apply exponent rule:

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

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

= 2 3^{4} \cdot 3

Apply radical rule:

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

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

= 2 3^{4} 3

3^{4} = 9

= 2 \cdot 93

Multiply the numbers:

2 \cdot 9 = 18

= 183

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Frequently Asked Questions (FAQ)

What is 2sqrt(243) ?
The solution to 2sqrt(243) is 18sqrt(3)