Question

Find the value of x. If necessary, write youranswer in simplest radical form.9x=(Simplify your answer. Type an exact answer, using radicals as needed.)

Answer 1

EXPLANATION

Given the right triangle, we can apply the Pythagorean Theorem in order to get the value of x:

$\text{hypotenuse}^2=\text{leg}^2_1+\text{leg}^2_2$

Replacing terms:

$9^2=x^2+1^2$

Computing the powers:

$81=x^2+1$

Subtracting -1 to both sides:

$81-1=x^2$

Switching sides:

$x^2=80$

Applying the squared root to both sides:

$x=\sqrt[]{80}$

Simplifying:

$x=4\sqrt[]{5}$