?
Given that $$\sqrt 5 $$ = 2.236 and $$\sqrt 3 $$ = 1.732, then the value of $$\frac{1}{{\sqrt 5 + \sqrt 3 }}{\text{ is = ?}}$$
Answer & Solution
Correct Answer:
Option
C
$$\eqalign{
& \frac{1}{{\sqrt 5 + \sqrt 3 }} \times \frac{{\sqrt 5 - \sqrt 3 }}{{\sqrt 5 - \sqrt 3 }} \cr
& = \frac{{\sqrt 5 - \sqrt 3 }}{{5 - 3}} \cr
& = \frac{{2.236 - 1.732}}{2} \cr
& = \frac{{0.504}}{2} \cr
& = 0.252 \cr} $$
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