Question

Activity 1.1 Simplify Me Simplify by removing perfect nth powers: 1. √20 2. √300 3. √128 3 4. √ 5 3 5. √50 3

Answer 1

`(a)\ √(20)=2√(5)`

`(b)\ √(300) = 10 √(3)`

`(c)\ √(128) = 8 √(2)`

Explanation:

Required

Simplify

`(a)\ √(20)`

Express 20 as 4 * 5

`√(20)=√(4 * 5)`

Split

`√(20)=√(4) * √(5)`

This gives:

`√(20)=2 * √(5)`

`√(20)=2√(5)`

`(b)\ \sqrt{300`

Express as 100 * 3

`√(300) = √(100) * √(3)`

This gives:

`√(300) = 10 * √(3)`

`√(300) = 10 √(3)`

`(c)\ √(128)`

Express as 64 * 2

`√(128) = √(64*2)`

Split

`√(128) = √(64) * √(2)`

`√(128) = 8 * √(2)`

`√(128) = 8 √(2)`

Questions 4 and 5 are not clear

Follow the steps in 1 - 3 to solve 4 and 5