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Popular >

simplify-sqrt(24)

Solution

simplify

- 24

Solution

- 26

+1

Solution steps

- 24

Prime factorization of

24 : 2^{3} \cdot 3

= - 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

= - 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

= - 2^{2} 2 \cdot 3

Apply radical rule:

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

2^{2} = 2

= - 2 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= - 26

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Frequently Asked Questions (FAQ)

What is simplify-sqrt(24) ?
The solution to simplify-sqrt(24) is -2sqrt(6)