Question 78

Which of the following is the correct rationalize form of $$\frac{15}{\sqrt{5}+2}=?$$

Solution

Expression : $$\frac{15}{\sqrt{5}+2}=?$$

Rationalizing the denominator, we get :

= $$\frac{15}{\sqrt{5}+2}\times\frac{(\sqrt5-2)}{(\sqrt5-2)}$$

= $$\frac{15(\sqrt5-2)}{5-4}=15\sqrt5-30$$

=> Ans - (C)


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