Question

15. a) 4√7-2(2√7+3)+√12
b) 5√15-3(√15+2)+4(1-√15)
c) 2(2√3+√2)-(√8+2√12)

d) √3(2√2-3√3)-√2(2√3-3√2)

Answer 1

a) $4 \sqrt{7} - 4 \sqrt{7} -6 + \sqrt{12} = \sqrt{12} -6= \sqrt{12} - \sqrt{36} = 1- \sqrt{3}$

b) $5\sqrt{15} -3 \sqrt{15} -6+ 4- 4\sqrt{15} =-2 \sqrt{15} -2$

c) $4 \sqrt{3}+ 2\sqrt{2} - \sqrt{8} -2 \sqrt{12} =4 \sqrt{3} +2 \sqrt{2} - 2\sqrt{2} - 4\sqrt{3} =0$

d) $2 \sqrt{6} -9- 2\sqrt{2} +6=2 \sqrt{6} -3- 2\sqrt{2}$