# Express radical \sqrt{28}+\sqrt{5}-3\sqrt{7} in the simplest form

Express radical $\sqrt{28}+\sqrt{5}-3\sqrt{7}$ in the simplest form

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Given: $\sqrt{28}+\sqrt{5}-3\sqrt{7}$

Solution:

$\sqrt{28}+\sqrt{5}-3\sqrt{7}=\sqrt{4×7}+\sqrt{5}-3\sqrt{7}$

$=2\sqrt{7}+\sqrt{5}-3\sqrt{7}$

$=\sqrt{7}\left(2-3\right)+\sqrt{5}$

$=\sqrt{5}-\sqrt{7}$

$\sqrt{28}+\sqrt{5}-3\sqrt{7}=\sqrt{5}-\sqrt{7}$