# Thread: Binomial Radical Expressions

1. ## Binomial Radical Expressions

A hiker drops a rock from the rim of the Grand Canyon. The distance it falls d in feet after t seconds is given by the function d=16t^2. How far has the rock fallen after (3 + sq rt(2) )seconds? Please show steps!

2. ## Re: Binomial Radical Expressions

Originally Posted by Courtx33333
A hiker drops a rock from the rim of the Grand Canyon. The distance it falls d in feet after t seconds is given by the function d=16t^2. How far has the rock fallen after (3 + sq rt(2) )seconds? Please show steps!
squaring a binomial involves the following pattern ...

$(a+b)^2 = a^2 + 2ab + b^2$

so let $a = 3$ and $b = \sqrt{2}$