Question

Make h the subject of the formula d= square root of 4h/5

Answer 1

The formula after making h the subject of formula is: $h=\frac{5d^2}{4}$

Further explanation:

Given formula is:

$d=\sqrt{\frac{4h}{5}}$

Making any variable subject of any formula means that the concerned variable should be isolated on one side of the formula. Which means it will be a dependent quantity.

So,

First of all we have to take the h out of the square root

So,

$Taking\ square\ on\ both\ sides\\(d)^2=(\sqrt{\frac{4h}{5}})^2\\d^2=\frac{4h}{5}\\Multiplying\ both\ sides\ by\ 5\\5d^2=\frac{4h}{5}*5\\5d^2=4h\\Dividing\ both\ sides\ by\ 4\\\frac{5d^2}{4}=\frac{4h}{4}\\h=\frac{5d^2}{4}$

So,

The formula after making h the subject of formula is: $h=\frac{5d^2}{4}$

Keywords: Formulas, Subject of Formulas

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