Question

simplify the following radicals please show work
1. 3√14 * -2√21
2. √2(√8 + √6)

Answer 1

3√14 * -2√21 = -46√6
√2(√8 + √6) = √2 (2 √2 + √6)

Answer 2

could you show your work

Answer 3

x^2 - 8x + 4 is the mini polynomial for √2(√8 + √6)

Answer 4

2 (2 + √3)
4 + 2 √3

Answer 5

is that for the first one??

Answer 6

1. 3√14 * -2√21
3√14=3*√7*√2
-2√21=-2*√7*√3
=3*√7*√2*-2*√7*√3=7*3√3*-2√2=42√6
2.√2(√8 + √6)
√8=2√2
√6=√2√3
=√2(2√2+√2√3)
=√2√2(2+√3)=2(2+√3)