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Mathematics 21 Online
OpenStudy (anonymous):

HELP! MEDAL :D An expression is shown below: square root of 32 plus square root of 2 Which statement is true about the expression?

OpenStudy (anonymous):

OpenStudy (alexandervonhumboldt2):

it cn be siplifies

OpenStudy (alexandervonhumboldt2):

you can ad d them

OpenStudy (jhannybean):

how do you factor 32?

OpenStudy (jhannybean):

32 = \( 8 \cdot 4 = 2^3 \cdot 2^2\)

OpenStudy (anonymous):

The answers are 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 5 multiplied by square root of 2.

OpenStudy (alexandervonhumboldt2):

sqrt32=8sqrt2

OpenStudy (jhannybean):

\[\sqrt{32} = \sqrt{2^3 \cdot 2^2} = 2\sqrt{8}\]

OpenStudy (jhannybean):

And then once more.

OpenStudy (alexandervonhumboldt2):

sqrt32=4 sqrt2

OpenStudy (alexandervonhumboldt2):

4 sqrt2+qrt2=5 sqrt2 which is irattional

OpenStudy (jhannybean):

\[2\sqrt{8} = 2\sqrt{ 2^2 \cdot 2} = 4\sqrt{2}\]

OpenStudy (anonymous):

when you guys are done helping Alesh, would you mind helping me?

OpenStudy (alexandervonhumboldt2):

yes

OpenStudy (anonymous):

so?

OpenStudy (anonymous):

A?

OpenStudy (anonymous):

@Jhannybean

OpenStudy (anonymous):

Aww thank you!

OpenStudy (alexandervonhumboldt2):

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

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