Question

1.a) (3√5)^2
b) (-2√7)^3
c) (-3√10)^4
2. (√3)^3 • (√3+ 5/√3)
√288 + (1/√2)^-1 + (2√6)•(-3√3)-(√2)^5

Answer 1

a) (3√5)²=3²•5=9•5=45

b) (-2√7)³=(-2√7)•(-2√7)•(-2√7)=- 2³*7*√7=-8*7•√7=-56√7

c) (-3√10)⁴=9²•10²=81•100=8100

2. (√3)³ • (√3+ 5/√3)=
3√3• (√3+ 5/√3)=
3√3•√3+3√3•5/√3=
3•3+3•5=
9+15=24

√288 + (1/√2)⁻¹ + (2√6)•(-3√3)-(√2)⁵=
12√2+√2-2•3•3•√2-2•2•√2=  
13√2-18√2-4√2=
-9√2