$ \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}$
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