Question

rationalise 5+2√6 / 5-2√6
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Answer 1

Step-by-step explanation:

5 + 2√6 / 5 - 2√6

By multiplying 5 + 2√6 in denominator and numerator

5 + 2√6 / 5 - 2√6 × 5 + 2√6 / 5 + 2√6

= (5 + 2√6) × (5 + 2√6) / (5 - 2√6) × (5 + 2√6)

= (5 + 2√6)² / 5² - (2√6)²

by using a² - b² = (a + b) (a - b), here a = 5 and b = 2√6

= (5 + 2√6)² / 25 - 4×6

= (5 + 2√6)² / 25-24

= (5 + 2√6)²/1

= (5 + 2√6)²

If u want u can solve this also

Using (a + b)² = a² + b² + 2ab

Here a = 5 and b = 2√6

5² + 4 × 6 + 2 ( 5 × 2√6)

= 25 + 24 + 20√6

= 49 + 20√6