1. square root of 15 space plus space square root of 3 space square root of 15 space end root space minus square root of 3 space r a t i o n a l i s e space t h e space d e n o m i n a t o r

Asked by shreyashkkulkarni.2007 | 13th Aug, 2021, 06:49: PM

Expert Answer:

TO rationalise the denominator
fraction numerator square root of 15 plus square root of 3 over denominator square root of 15 minus square root of 3 end fraction
equals fraction numerator square root of 15 plus square root of 3 over denominator square root of 15 minus square root of 3 end fraction cross times fraction numerator square root of 15 plus square root of 3 over denominator square root of 15 plus square root of 3 end fraction
equals fraction numerator 15 plus 3 plus 2 open parentheses square root of 15 close parentheses open parentheses square root of 3 close parentheses over denominator 15 minus 3 end fraction
equals fraction numerator 18 plus 2 open parentheses square root of 3 square root of 5 close parentheses open parentheses square root of 3 close parentheses over denominator 12 end fraction
equals fraction numerator 18 plus 2 cross times 3 square root of 5 over denominator 12 end fraction
equals fraction numerator 18 plus 6 square root of 5 over denominator 12 end fraction
equals fraction numerator 3 plus square root of 5 over denominator 2 end fraction

Answered by Renu Varma | 16th Aug, 2021, 11:38: AM