# How do you simplify sqrt(5x - 3)^2?

Feb 1, 2016

${\sqrt{5 x - 3}}^{2}$

$\rightarrow = 5 x - 3$

Because square root of of any value multiplied by its square root gives the same number:

Example:$\sqrt{2} \cdot \sqrt{2} = 2$

$\sqrt{1234 a b} \cdot \sqrt{1234 a b} = 1234 a b$

$\sqrt{56 + 3} \cdot \sqrt{56 + 3} = 56 + 3 = 59$

So,the final answer we get is $5 x - 3$