Question

Find the value of X. Write your answer in simplest form. X=__

Answer 1

Answer:

x = 3

Step-by-step explanation:

Use the Pythagorean theorem:

$x^2+x^2=(3\sqrt2)^2\qquad\text{use}\ (ab)^n=a^nb^n\\\\2x^2=3^2(\sqrt2)^2\qquad\text{use}\ (\sqrt{a})^2=a\\\\2x^2=(9)(2)\\\\2x^2=18\qquad\text{divide both sides by 2}\\\\x^2=9\to x=\sqrt9\\\\\boxed{x=3}$