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OpenStudy (anonymous):
which is equivalent to 3√16 + √54?
a. 2 3√5
b. 5 3√2
c. 3√70
d. 6 √70
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OpenStudy (solomonzelman):
think how to brake up the square root into the product f a bunch of perfect squares, like \[\sqrt{48}=\sqrt{16} \times \sqrt{3}~~~~or~~~~4\sqrt{3}\]
OpenStudy (anonymous):
how do u do it
OpenStudy (solomonzelman):
When you have\[3\sqrt{16}\]it's same as \[3\sqrt{4^2}=?~~~~~~~you~~tell~~me.\]
OpenStudy (anonymous):
i dont understand
OpenStudy (solomonzelman):
do you see that 16 is a perfect square?
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OpenStudy (anonymous):
yea
OpenStudy (solomonzelman):
\[16=4^2\]
OpenStudy (anonymous):
but how do u get the answer
OpenStudy (solomonzelman):
\[So,~~~3\sqrt{16}=3\sqrt{4^2}=3 \times 4 = 12\]\[\sqrt{54}= \sqrt{9} \times \sqrt {6} = \sqrt{3^2} \times \sqrt{6}=3 \times \sqrt{6}=3\sqrt{6} \]\[SO~~~~~~~12+3\sqrt{6}\]
OpenStudy (anonymous):
theres answer choices
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OpenStudy (solomonzelman):
The answer choices are wrong, or you asked the question incorrectly.
OpenStudy (anonymous):
i asked it right
OpenStudy (solomonzelman):
\[I~~~am~~~positive~~~that~~~I~~~am~~~ri ght!\]
OpenStudy (solomonzelman):
it can't be any of the given choices for the given question.
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