Question

simplify root75 - root27 without using a ccalculator

Answer 1

Question

simplify

$\sqrt{75} - \sqrt{27}$

Solution

$by \: splliting \: \\ \\ \sqrt{3 \times 5 \times 5} \: - \sqrt{3 \times 3 \times 3} \\ \\ by \: taking \: comman \\ \\ 5 \sqrt{3} \: - \: 3\sqrt{3} \\ \\ by \: taking \: \sqrt{3} \: as \: comman$

$\: we \: get \: \\ \sqrt{3} (5 - 3) \\ \\ so \: \sqrt{3} ( 2) \\ \\ then \: by \: multiplycation \: \\ \\ 2 \sqrt{3}$

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