Question

Find the length of side xx in simplest radical form with a rational denominator.

Answer 1

x = √22

Explanation:

This is a right triangle.

In right triangles the sum of square value of legs is equal to the square value of hypotenuse:

• Since this is also an isosceles triangle, both legs are √11.

`( { √(11)) }^(2) + ( √(11) {)}^(2) = {x}^(2)`

• The second power of √11 = 11

`11 + 11 = {x}^(2)`

• Find the root of both sides

√22 = x