What is simplify-5sqrt(24) ?

The solution to simplify-5sqrt(24) is -10sqrt(6)

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simplify-5sqrt(24)

simplify

- 524

- 106

Decimal Notation

- 24.49489 \dots

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

9 x^{2} - 24 x = - 23

t^{2} + 5 t + 6 = 0

4 y^{2} - 28 y + 49

x^{3} - 9 x^{2} + 18 x

8 x - 14 \leq 5 x - 15