What is simplify-0.05sqrt(28800) ?

The solution to simplify-0.05sqrt(28800) is -6sqrt(2)

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simplify-0.05sqrt(28800)

simplify

- 0.05 28800

- 62

Decimal Notation

- 8.48528 \dots

Solution steps

- 0.05 28800

Prime factorization of

28800 : 2^{7} \cdot 3^{2} \cdot 5^{2}

= - 0.05 2^{7} \cdot 3^{2} \cdot 5^{2}

Apply exponent rule:

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

2^{7} \cdot 3^{2} \cdot 5^{2} = 2^{6} \cdot 2 \cdot 3^{2} \cdot 5^{2}

= - 0.05 2^{6} \cdot 2 \cdot 3^{2} \cdot 5^{2}

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

= - 0.05 2^{6} 2 3^{2} 5^{2}

2^{6} = 8

= - 0.05 \cdot 82 3^{2} 5^{2}

Apply radical rule:

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

3^{2} = 3

= - 0.05 \cdot 82 \cdot 3 5^{2}

Apply radical rule:

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

5^{2} = 5

= - 0.05 \cdot 82 \cdot 3 \cdot 5

Multiply the numbers:

8 \cdot 3 \cdot 5 = 120

= - 0.05 \cdot 1202

Multiply the numbers:

- 0.05 \cdot 120 = - 6

= - 62

\frac{21 x ^{3} + 189 x ^{2}}{7 x ^{3}}

- \frac{8}{12}

(3 + i)^{3}

\frac{2 x}{x ^{4}}

- 5 \cdot (- 4)

What is simplify-0.05sqrt(28800) ?
The solution to simplify-0.05sqrt(28800) is -6sqrt(2)