HELP! MEDAL :D
An expression is shown below:
square root of 32 plus square root of 2
Which statement is true about the expression?
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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 = \( 8 \cdot 4 = 2^3 \cdot 2^2\)
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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
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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?
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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.