Question

simplify √225-4√6+√294-2√1/6

Answer 1

Answer :


$= > \: \sqrt{225} - 4 \sqrt{6} + \sqrt{294} - 2 \sqrt{ \frac{1}{6} } \\ \\ = > \: firstly \: calculate \: the \: square \: root \\ \\ = > \: 15 - 4 \sqrt{6} + 7 \sqrt{6} - 2 \times \frac{1}{ \sqrt{6} } \\ \\ = > \: calculate \: the \: product \\ \\ = > \: 15 - 4 \sqrt{6} + 7 \sqrt{6} - \frac{2}{ \sqrt{6} } \\ \\ = > \: rationalize \: the \: denominator \: \\ \\ = > \: 15 - 4 \sqrt{6} + 7 \sqrt{6} - \frac{ \sqrt{6} }{3} \\ \\ = > \: calculate \: the \: sum \: or \: difference \\ \\ = > \: \frac{3 \times 4 \sqrt{6} }{3} + \frac{7 \sqrt{6} }{1} - \frac{ \sqrt{6} }{3} \\ \\ = > \: - \frac{12 \sqrt{6} }{3} + \frac{3 \times 7 \sqrt{6} }{3 \times 1} - \frac{ \sqrt{6} }{3} \\ \\ = > \: - \frac{12 \sqrt{6} }{3} + \frac{21 \sqrt{6} }{3} - \frac{ \sqrt{6} }{3} \\ \\ = > \: \frac{8 \sqrt{6} }{3} \\ \\ = > \: 15 + \frac{8 \sqrt{6} }{3} \\ \\ = > 21.53197$



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