What is simplify-2sqrt(24) ?

The solution to simplify-2sqrt(24) is -4sqrt(6)

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simplify-2sqrt(24)

simplify

- 224

- 46

Decimal Notation

- 9.79795 \dots

Solution steps

- 224

Prime factorization of

24 : 2^{3} \cdot 3

= - 2 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^{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} 2 \cdot 3

Apply radical rule:

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

2^{2} = 2

= - 2 \cdot 2 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= - 2 \cdot 26

Multiply the numbers:

- 2 \cdot 2 = - 4

= - 46

- 216

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(- 7 x - 7) - (3 x + 3)

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