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An expression is shown below:

square root of 32 plus square root of 2

Which statement is true about the expression?

It is rational and equal to 4.
It is rational and equal to 5.
It is irrational and equal to 5 multiplied by square root of 2.
It is irrational and equal to 4 multiplied by square root of 2.

2 Answers

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√(32)+√(2)=√(16* 2)+√(2)=√(16)* √(2)+√(2)=4√(2)+√(2)=\boxed{5√(2)}

The answer is "It is irrational and equal to 5 multiplied by square root of 2."
User Arraval
by
9.5k points
4 votes

Answer:

It is irrational and equal to
5 multiplied by square root of
2

Explanation:

we have


√(32)+√(2)

Remember that


32=2^(5)

substitute in the expression


\sqrt{2^(5)}+√(2)=4√(2)+√(2)=5√(2)

therefore

It is irrational and equal to
5 multiplied by square root of
2


User Etienne Dupuis
by
8.3k points

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