Question

Solve quadratic equation using the square root property:$2b^2=72$

Short answer

The required result is$b=6or-6$

Step-by-step solution

Given information 

The given expression is$2b^2=72$

 Simplifying the equation

Divide both side of equation by 2

$b^2=36$

Square root property 

If $x^2=k$and $k\ge 0$then , $x=\sqrt{k}or-\sqrt{k}$

$36\ge 0$

$x=\sqrt{36}or-\sqrt{36}$

$x=6or-6$