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Popular >

simplify 8sqrt(24)

Solution

simplify

824

Solution

166

+1

Decimal Notation

39.19183 \dots

Solution steps

824

Prime factorization of

24 : 2^{3} \cdot 3

= 8 2^{3} \cdot 3

Apply exponent rule:

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

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

= 8 2^{2} \cdot 2 \cdot 3

Apply radical rule:

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

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

= 8 2^{2} 2 \cdot 3

Apply radical rule:

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

2^{2} = 2

= 8 \cdot 2 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 8 \cdot 26

Multiply the numbers:

8 \cdot 2 = 16

= 166

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Frequently Asked Questions (FAQ)

What is 8sqrt(24) ?
The solution to 8sqrt(24) is 16sqrt(6)