Question

Find the value of X express your answer in simplest radical form.

Answer 1

`\text{Apply Pythagorean theorem,}\\ \\~~~~~~~x^2 = 25^2 +75^2\\\\\implies x =√(25^2 +75^2)\\ \\\implies x = √(625+5625)\\\\\implies x = √(6250)\\\\\implies x =√(625 * 10)\\\\\implies x = √(25^2 * 10)\\\\\implies x = 25√(10)`