What is sqrt(24000) ?

The solution to sqrt(24000) is 40sqrt(15)

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simplify sqrt(24000)

simplify

24000

4015

Decimal Notation

154.91933 \dots

Solution steps

24000

Prime factorization of

24000 : 2^{6} \cdot 3 \cdot 5^{3}

= 2^{6} \cdot 3 \cdot 5^{3}

Apply exponent rule:

a^{b + c} = a^{b} \cdot a^{c}

2^{6} \cdot 3 \cdot 5^{3} = 2^{6} \cdot 3 \cdot 5^{2} \cdot 5

= 2^{6} \cdot 3 \cdot 5^{2} \cdot 5

2^{6} \cdot 3 \cdot 5^{2} \cdot 5 = 2^{6} 5^{2} 3 \cdot 5

= 2^{6} 5^{2} 3 \cdot 5

2^{6} = 8

= 8 5^{2} 3 \cdot 5

Apply radical rule:

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

5^{2} = 5

= 8 \cdot 5 3 \cdot 5

Multiply the numbers:

8 \cdot 5 = 40

= 40 3 \cdot 5

Multiply the numbers:

3 \cdot 5 = 15

= 4015

\frac{8}{7 x} + \frac{4}{9 x}

\frac{1 + x}{1 - x}

0.7 (- 6 x + 7 x + 6) - 0.7 x

\frac{7}{8} - \frac{3}{12}

\frac{1}{3} x - 6