Prove that it is smaller than 6

[Michael_Light]

Homework Statement

Prove that

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Homework Equations

The Attempt at a Solution

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

 

[stallionx]

Homework Statement

Prove that View attachment 38334.

Homework Equations

The Attempt at a Solution

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

Since both sides are positive take squares of them

 

[Michael_Light]

Since both sides are positive take squares of them

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

You'll end up 81>80

Sorry but i can't get you...

 

[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.

 

[uart]

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

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.