$ \sqrt{8-2\sqrt{15}}$ is equal to
$ \sqrt{8-2\sqrt{15}}$ is equal to
$ \sqrt{8-2\sqrt{15}}$ का मान निम्नलिखित में से किसके बराबर है?
Detailed Solution & Logic
Correct Answer:
$ \sqrt{5} - \sqrt{3}$
=$ \sqrt{8-2\sqrt{15}}$ =$ \sqrt{5+3-2\sqrt{5\times3}}$
= $ \sqrt{(\sqrt{5})^2+ (\sqrt{3})^2 - 2(\sqrt{5})(\sqrt{3})}$
=$ \sqrt{(\sqrt{5}-\sqrt{3})^2 }$
= $ \sqrt{5}$-$ \sqrt{3}$
Similar Practice Questions
20 uniform solid hemispheres of radius 3 cm are melted to form a larger solid hemisphere. If 20% of the solid is wasted during this process, what is the radius (in cm) of the largest hemisphere formed?
20 uniform solid hemispheres of radius 3 cm are melted to form a larger solid...
A shopkeeper marks his goods 50% above the cost price. He sells the goods at a discount of 12%. What is his profit percentage?
A shopkeeper marks his goods 50% above the cost price. He sells the goods at...
The product of two consecutive natural numbers is 702. The greater of the two numbers is:
The product of two consecutive natural numbers is 702. The greater of the two numbers...
Two numbers, m and n, are such that the sum of 4% of m and 6% of n is equal to half of the sum of 7% of m and 14% of n. Determine the ratio of m : n.
Two numbers, m and n, are such that the sum of 4% of m and...
If an angle is \(10^\circ\) more than twice its complement, what is the angle?
If an angle is \(10^\circ\) more than twice its complement, what is the angle? यदि...
If the price of a commodity increases by 35%, then by what percentage should a family reduce its consumption so that there is no increase in total expenditure?
If the price of a commodity increases by 35%, then by what percentage should a...
In the first 5 overs of a T-20 international cricket match, the run rate was only 5.6. What should be the run rate (approximately) in the remaining 15 overs to reach a target of 185 runs?
In the first 5 overs of a T-20 international cricket match, the run rate was...