Question
Given $$\sqrt 5 = 2.2361,$$ $$\sqrt 3 = 1.7321{\text{,}}$$ then $$\frac{1}{{\sqrt 5 - \sqrt 3 }}$$ is equal to ?
Answer: Option C
$$\eqalign{
& \Rightarrow \frac{1}{{\sqrt 5 - \sqrt 3 }} \cr
& = \frac{1}{{\sqrt 5 - \sqrt 3 }} \times \frac{{\left( {\sqrt 5 + \sqrt 3 } \right)}}{{\left( {\sqrt 5 + \sqrt 3 } \right)}} \cr
& = \frac{{\left( {\sqrt 5 + \sqrt 3 } \right)}}{{5 - 3}} \cr
& = \frac{{\left( {2.2361 + 1.7321} \right)}}{2} \cr
& = \frac{{3.9682}}{2} \cr
& = 1.9841{\text{ }} \cr} $$
Was this answer helpful ?
$$\eqalign{
& \Rightarrow \frac{1}{{\sqrt 5 - \sqrt 3 }} \cr
& = \frac{1}{{\sqrt 5 - \sqrt 3 }} \times \frac{{\left( {\sqrt 5 + \sqrt 3 } \right)}}{{\left( {\sqrt 5 + \sqrt 3 } \right)}} \cr
& = \frac{{\left( {\sqrt 5 + \sqrt 3 } \right)}}{{5 - 3}} \cr
& = \frac{{\left( {2.2361 + 1.7321} \right)}}{2} \cr
& = \frac{{3.9682}}{2} \cr
& = 1.9841{\text{ }} \cr} $$
Was this answer helpful ?
More Questions on This Topic :
Question 1. Given that **Hidden Equation** is ?
Question 2. **Hidden Equation** is equal to ?
Question 3. If **Hidden Equation** is nearest to = ?....
Question 4. Determined the value of **Hidden Equation**
Question 5. **Hidden Equation** simplifies to = ?
Question 6. If **Hidden Equation** would be = ?
Question 7. If **Hidden Equation** is equal to = ?....
Question 8. If **Hidden Equation** is ?
Latest Videos
Latest Test Papers
Submit Solution