How do you divide $\frac{4 \sqrt{x^{12}}}{24 {\sqrt{x}}^{12}}$ $(4 sqrt(x^12))/(24 sqrtx^12)$ ?

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Answer 1 · 2016-03-12T19:35:35

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Given: $\frac{4 \sqrt{x^{12}}}{24 \sqrt{x^{12}}}$ $color(green)(" "(4sqrt(x^12))/(24sqrt(x^12)))$

Write this as:

$\frac{4}{24} \times \frac{\sqrt{x^{12}}}{\sqrt{x^{12}}}$ $color(green)(" "4/24 xxsqrt(x^12)/sqrt(x^12))$

$But \frac{\sqrt{x^{12}}}{\sqrt{x^{12}}} = 1 giving$ $color(brown)("But "sqrt(x^12)/sqrt(x^12) = 1" giving")$

$\frac{4}{24} \times 1 = \frac{4}{24}$ $color(green)(" "4/24xx1 =4/24)$

By the properties of ratios, what you do to the top (numerator) you do to the bottom (denominator)

Divide top and bottom by 4

$\frac{4 \div 4}{24 \div 4} = \frac{1}{6}$ $color(green)(" "(4-:4)/(24-:4) = 1/6)$

How do you divide 4√x1224√x12(4 sqrt(x^12))/(24 sqrtx^12)?