Question

√22+√800-√18 simplify plzzz answer

Answer 1

$\sqrt{22} + \sqrt{800} - \sqrt{18} \\ = \sqrt{2 \times 11} + \sqrt{4 \times 2 \times 100} - \sqrt{9 \times 2} \\ = \sqrt{2} \times \sqrt{11} + (2)(10) \sqrt{2} - 3 \sqrt{2} \\ = \sqrt{2} \times \sqrt{11} + 20 \sqrt{2} - 3 \sqrt{2} \\ taking \: \sqrt{2} a \: common \: we \: get \\ = \sqrt{2} ( \sqrt{11} + 20 - 3) \\ = \sqrt{2} ( \sqrt{11} + 17) \\ = \sqrt{22} + 17 \sqrt{2}$
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