What is simplify-4sqrt(24) ?

The solution to simplify-4sqrt(24) is -8sqrt(6)

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simplify-4sqrt(24)

simplify

- 424

- 86

Decimal Notation

- 19.59591 \dots

Solution steps

- 424

Prime factorization of

24 : 2^{3} \cdot 3

= - 4 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

= - 4 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

= - 4 2^{2} 2 \cdot 3

Apply radical rule:

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

2^{2} = 2

= - 4 \cdot 2 2 \cdot 3

Multiply the numbers:

2 \cdot 3 = 6

= - 4 \cdot 26

Multiply the numbers:

- 4 \cdot 2 = - 8

= - 86

(x + 2)^{2} + 3 (x + 2)

(2 x^{2} + 5 x + 7) + (- 10 x^{2} - 7 x + 1)

5 x - 35

2.2 5^{2} t - 18 t + 38

+ \frac{1}{a + bi}