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

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Answer 1 · 2016-03-12T19:35:35

1/6

Given: $color(green)(" "(4sqrt(x^12))/(24sqrt(x^12)))$

Write this as:

$color(green)(" "4/24 xxsqrt(x^12)/sqrt(x^12))$

$color(brown)("But "sqrt(x^12)/sqrt(x^12) = 1" giving")$

$color(green)(" "4/24xx1 =4/24)$

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

Divide top and bottom by 4

$color(green)(" "(4-:4)/(24-:4) = 1/6)$

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