Question

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

Answer 1

x =
`(\sqrt2)/(2)`

Explanation:

Solve for x:

• x² + x² = 1²
• 2x² = 1
• x² = 1/2
• x = √(1/2)
• x = (√1)(√2)

Rationalize the denominator

Elminate the radical

• x = (√1 * √2)(√2 * √2) ⇒ Rationalize the denominator
• x = (√2)/(2)

-Chetan K