Question

find the value of the following:
a)4√75+4√50-5√165
b)2√14+2√21
c)4√52+4√16​

Answer 1

$(a). \\ = > 4 \sqrt{75} + 4 \sqrt{50} - 5 \sqrt{165} \\ = > 4 \sqrt{5 \times 5 \times 3} + 4 \sqrt{5 \times 5 \times 2} - 5 \sqrt{ 3 \times 5 \times 11} \\ = > 4 \times 5 \sqrt{3} + 4 \times 5 \sqrt{2} - 5 \sqrt{165} \\ = > 20 \sqrt{3} + 2 0\sqrt{2} - \sqrt{165} \\ (b). \\ = > 2 \sqrt{14} + 2 \sqrt{21} \\ = > 2 \sqrt{7 \times 2} + 2 \sqrt{7 \times 3} \\ = > 2 \sqrt{14} + 2 \sqrt{21} it \: cant \: be \: simplify \: without \: decimal \\ (c). \\ 4 \sqrt{52} + 4 \sqrt{16} \\ = > 4 \sqrt{2 \times 2 \times 13} + 4 \sqrt{4 \times 4} \\ = > 4 \times 2 \sqrt{13} + 4 \times 4 \\ = > 8 \sqrt{13} + 16$

I hope that helps you