2. Rationalise the denominator of √3 - √4
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√3 + √4 - √7
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Answer:
√12(√7 - 1 )
24
Step-by-step explanation:
√3 - √4
( √3 + √4 ) - √7
√3 - √4 × ( √3 + √4 ) + √7
( √3 + √4 ) - √7 ( √3 + √4 ) + √7
( √3 - √4 ) ( √3 + √4 ) + √7
( √3 + √4 ) ^2 - 7
( √3 ) ^2 - ( √4 ) ^2 + √7
3 + 4 + 2×√3×√4 - 7
3 - 4 + √7
2√12
√7 - 1
2√12
Again Rationalise the denominator :
√7 - 1 × √12
2√12 √12
√12 ( √7 - 1 )
2 × 12
√12 ( √7 - 1 )
24
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