Prove the following

Question:

$\sqrt{10}, \sqrt{15}$ is equal to

(a) $6 \sqrt{5}$

(b) $5 \sqrt{6}$

(c) $7 \sqrt{5}$

(d) $10 \sqrt{5}$

Solution:

(b) $\sqrt{10}, \sqrt{15}=\sqrt{2} .5 \sqrt{3} .5=\sqrt{2} \sqrt{5} \sqrt{3} \sqrt{5}==5 \sqrt{6}$

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