Question

Radicals Help picture attached below

Answer 1

The formula

`c = √( a^2 + b^2 )`

represents the length of the hypotenuse of a right triangle with side lengths a and b, and we have to solve for b .

First we need to get rid of the radical and for that, we do squaring on both sides. That is

`c^2 = a^2 + b^2`

Now we need to get rid of a^2 and for that we do subtraction.

`b^2 = c^2 - a^2`

And finally we need to get rid of square, and for that we take radical to both sides

`b = √( c^2 -a^2 )`