rationalise the denominator of 3root2+1/2root5-3
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3√2+1 ÷ 2√5-3 × 2√5+3 ÷ 2√5+3
= 6√10+9√2+2√5+3 ÷ (2√5)² - 3²
= 6√10+9√2+2√5+3 ÷ 4×5 -9
= 6√10+9√2+2√5+3 ÷ 20 - 9
= 6√10+9√2+2√5+3 ÷ 11
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