1. which number below is irrational?

Question

a)√4/9 b) √20 c)√121
Why is the number you chose irrational?

2. express in simplest form:
√48-5√27+2√75

3. solve for x: (√x+2)-3=0

Answer 1

1. Which numbers are NOT perfect squares?

2. √48-5√27+2√75
= √16√3 - 5√9√3 + 2√25√3
= 4√3 - 15√3 + 10√3
= -√3

3. I will assume you meant
√(x+2) - 3 = 0

then √(x+2) = 3
square both sides
x+2 = 9
x = 7

since we squared, we MUSYT verify all answers.

if x=7
LS = √(7+2) - 3
= √9 - 3
= 0
= RS

so x = 7