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Popular >

simplify 5sqrt(24)

Solution

simplify

524

Solution

106

+1

Solution steps

524

Prime factorization of

24 : 2^{3} \cdot 3

= 5 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

= 5 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

= 5 2^{2} 2 \cdot 3

Apply radical rule:

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

2^{2} = 2

= 5 \cdot 2 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= 5 \cdot 26

Multiply the numbers:

5 \cdot 2 = 10

= 106

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Frequently Asked Questions (FAQ)

What is 5sqrt(24) ?
The solution to 5sqrt(24) is 10sqrt(6)