Question

simplify 1/3√2-2√3by rationalism denominater​

Answer 1

*GIVEn*

simplify 1/3√2-2√3by rationalism denominater

*SOLUTIOn*

→ 1/3√2 - 2√3

Rationalize its denominator

→ 1/3√2 - 2√3 × 3√2 + 2√3

Apply identity :

Apply identity :(a + b)(a - b) = a² - b²

→ 3√2 + 2√3/(3√2)² - (2√3)²

→ 3√2 + 2√3/18 - 12

→ 3√2 + 2√3/6

*SOMe IDENTITIEs*

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