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Popular >

simplify 6*3sqrt(54)

Solution

simplify

6 \cdot 354

Solution

546

+1

Solution steps

6 \cdot 354

Prime factorization of

54 : 2 \cdot 3^{3}

= 6 \cdot 3 2 \cdot 3^{3}

Apply exponent rule:

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

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

= 6 \cdot 3 2 \cdot 3^{2} \cdot 3

Apply radical rule:

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

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

= 6 \cdot 3 3^{2} 2 \cdot 3

Apply radical rule:

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

3^{2} = 3

= 6 \cdot 3 \cdot 3 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 6 \cdot 3 \cdot 36

Multiply the numbers:

6 \cdot 3 \cdot 3 = 54

= 546

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Frequently Asked Questions (FAQ)

What is 6*3sqrt(54) ?
The solution to 6*3sqrt(54) is 54sqrt(6)