Solmyr
Simplify: sqrt c (3 + 2sqrt 5)
5 sqrt 5c
C sqrt 3 + c sqrt 10
3 sqrt c + 2 sqrt 5c
3 sqrt c + 2c sqrt 5
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ajprincess
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Use distributive property
a(b+c)+ab+ac
Here
a=sqrtc
b=3
c=2sqrt5
Does that help? @Solmyr
Solmyr
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srry had to do something
Solmyr
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Sqrt c(3 + 2 sqrt 5) + sqrt c(3) + sqrt c(2 sqrt 5)
phi
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it is best to put the numbers in front of the sq rt sign, it's less confusing
Sqrt c(3 + 2 sqrt 5) = 3sqrt c + 2 sqrt c sqrt 5
you should know that
\[ \sqrt{a} \cdot \sqrt{b} = \sqrt{a\cdot b} \]
That rule means you can combine sqrt(c)*sqrt(5)
Solmyr
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ok
Solmyr
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i was thinking that the answer was A and still thinking because of what u showed
Solmyr
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ok
phi
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I thought A was B. But A is not correct.
the answer is
3sqrt c + 2 sqrt c sqrt 5
or a simplified version of this
Solmyr
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ok so D??
phi
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rewrite
\[ 3\sqrt c + 2 \sqrt c \sqrt 5\]
by putting the c and 5 inside the same sqrt
Solmyr
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ok
Solmyr
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do you have time to help me with two more?
phi
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first, did you finish this one?
put the c and 5 inside the same sqrt
\[3\sqrt c + 2 \sqrt c \sqrt 5\]
phi
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you can do that only for the 2nd term.
Solmyr
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3 sqrt c + 2 sqrt 5c
phi
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ok, that should match one of your choices
Solmyr
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C
phi
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so to do this, you distributed and then you combined two sq rt's
phi
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please post your other question separately
Solmyr
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ok