yesseniaguerra
contestada

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.

Respuesta :

thisisnotspam42
[tex]\sqrt{32}+\sqrt{2}=\sqrt{16\times 2}+\sqrt{2}=\sqrt{16}\times \sqrt{2}+\sqrt{2}=4\sqrt{2}+\sqrt{2}=\boxed{5\sqrt{2}}[/tex]

The answer is "It is irrational and equal to 5 multiplied by square root of 2."
calculista

Answer:

It is irrational and equal to [tex]5[/tex] multiplied by square root of [tex]2[/tex]

Step-by-step explanation:

we have

[tex]\sqrt{32}+\sqrt{2}[/tex]

Remember that

[tex]32=2^{5}[/tex]

substitute in the expression

[tex]\sqrt{2^{5}}+\sqrt{2}=4\sqrt{2}+\sqrt{2}=5\sqrt{2}[/tex]

therefore

It is irrational and equal to [tex]5[/tex] multiplied by square root of [tex]2[/tex]


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