1.

5√3+3√5 / 5√3-3√5 ratinalise the denominator with steps​

Answer»

Answer:

Step-by-step explanation:

5√3+3√5 / 5√3-3√5

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

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

= (75 + 45 + 30√15) / (75-45)

= (120 + 30√15) / 30

= 30(4+√15) / 30

= 4 + √15


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