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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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

Mathematics
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Use distributive property a(b+c)+ab+ac Here a=sqrtc b=3 c=2sqrt5 Does that help? @Solmyr
srry had to do something
Sqrt c(3 + 2 sqrt 5) + sqrt c(3) + sqrt c(2 sqrt 5)

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Other answers:

  • phi
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)
ok
i was thinking that the answer was A and still thinking because of what u showed
ok
  • phi
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
ok so D??
  • phi
rewrite \[ 3\sqrt c + 2 \sqrt c \sqrt 5\] by putting the c and 5 inside the same sqrt
ok
do you have time to help me with two more?
  • phi
first, did you finish this one? put the c and 5 inside the same sqrt \[3\sqrt c + 2 \sqrt c \sqrt 5\]
  • phi
you can do that only for the 2nd term.
3 sqrt c + 2 sqrt 5c
  • phi
ok, that should match one of your choices
C
  • phi
so to do this, you distributed and then you combined two sq rt's
  • phi
please post your other question separately
ok

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