Question

rationalise the denominator of 1/8-√3​

Answer 1

Given

Rationalise the denominator of 1/8-√3

Solution

→ 1/8 - √3

→ 1/8 - √3 × 8 + √3/8 + √3

★ Applying identity :

a² - b² = ( a + b ) (a - b)

→ 8 + √3/(8)² - (√3)²

→ 8 + √3/64 - 3

→ 8 + √3/61

Some identities

• (a + b)² = a² + b² + 2ab
• (a - b)² = a² + b² - 2ab
• a³+ b³ = (a + b)(a² - ab + b²)