Question

(4√3+5√2)÷(4√3+3√2)rationalise the denominator

Answer 1

Here's your answer....

Answer 2

Answer:

= 9 + 4√6 / 1 5

Step-by-step explanation:

4 √ 3 + 5√ 2 × 4 √3- 3 5 2

4√3 + 3√2      4√3 - 3√2

= ( 4√3+5√2)(4√3 - 3√2 ) /   ( 4√3 ) 2 -  ( 3√2 ) 2

= 16 ( 3 ) - 1 2 √3√2 + 2 0√2√3- 1 5 ( 2 )

1 6 ( 3 ) - 9 ( 2 )

= 48 + 8√6 - 30 / 4 8  - 1 8 = 18 +8√6 / 3 0 = 2 ( 9 + 4√6 ) / 3 0 =2 ( 9 + 4√6 ) / 3 0

= 9 + 4√6 / 1 5

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