Question

An expression is shown below:


the square root of 32 plus the square root of 2


Which statement is true about the expression?


It is rational and equal to 4 times the square root of 2.

It is irrational and equal to 4 times the square root of 2.

It is rational and equal to 5 times the square root of 2.

It is irrational and equal to 5 times the square root of 2.

Answer 1

Answer:

It is irrational and equal to 5 times the square root of 2.

Step-by-step explanation:

The statement that is true about the expression:

( √(32) ) + √2

( √(16 * 2) ) + √2

( √(4²) *√2 ) + √2

( 4 *√2 ) + √2

( √2+√2+√2+√2 ) + √2

...and this is ( 4 ) + 1 times √2

The answer is 5 times √2

So the expression is irrational and equal to 5 times the square root of 2.