Question

rationalise the denominator 1/2√5+√3​

Answer 1

Step-by-step explanation:

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Answer 2

GIVEn

rationalise the denominator 1/2√5+√3

SOLUTIOn

→ 1/2√5 + √3

→ 1/2√5 + √3 × 2√5 - √3/2√5 - √3

★ Applying identity :

(a + b)(a - b) = a² - b²

→ 2√5 - √3/(2√5)² - (√3)²

→ 2√5 - √3/20 - 3

→ 2√5 - 3/17

SOMe IDENTITIEs

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