# Homework Help: Prove that it is smaller than 6

1. Aug 28, 2011

### Michael_Light

1. The problem statement, all variables and given/known data

Prove that .

2. Relevant equations

3. The attempt at a solution

I couldn't prove this... Can anyone help me? Thanks...

2. Aug 28, 2011

### stallionx

Since both sides are positive take squares of them

3. Aug 28, 2011

### Michael_Light

By squaring both sides, i stuck at sqrt20 < 4.5 , how do i proceed?

Sorry but i can't get you....

4. Aug 28, 2011

### Saitama

If you directly go by solving the square roots of 10 and 2, what you get is something 5.99 which is less than 6.

5. Aug 28, 2011

### uart

Square both sides again. That is, square 4.5 and show that it is equal to 20.25

It would probably look a bit nicer though if you left it as $2 \sqrt{20} < 9$ before squaring.