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3√2+√2

step by step please

 Mar 5, 2016
 #1
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Simplify the following:
3 sqrt(2)+sqrt(2)
3 sqrt(2)+sqrt(2) = 4 sqrt(2):
Answer: |  4 sqrt(2)

 Mar 5, 2016
 #2
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treat your surds (square roots) like letters (terms i think they are called) so you could say it is 3x+x which would be 4x. so your answer would be 3√2+√2=4√2

if you have different surds then treat them like other letters, so you can only multiply and divide them, you cant add different surds together

e.g. 3√2+√2=4√2

 but you cant do 3√2+√3=4√5 or something like that

you can multiply them together like so

3√2x√2=3√4

if you can square root the surd into a whole number then do so. like √4=2

because, as i said before, to treat surds as terms, if you are able to square root the surd into a whole number you would then multiply it by its coefficient. 3√4=3x2=6

 Mar 6, 2016
edited by Guest  Mar 6, 2016
edited by Guest  Mar 6, 2016

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