Solve the following question

Question

Solve : 2^3/2

Answer 1

2^3/2=(2^1/2)^3=(√2)3=√2*√2*√2=2√2

 

Answer 2

Good morning, Sam.

 

2^3/2 can also be written as (2³)^1/2

An exponent of 1/2 is equivalent to the square root of that base.

 

This gives us.

√2³  = √(2•2•2) = √(4•2)

 

Now since √4 = 2,

Then √(4•2) = 2√2