SOLUTION: can you please check if i got the right answer for this problem: 2√8+7√8/1-√2
these are my steps:
9√8/1-√2 multiplied by (1+√2/1+√2
Algebra.Com
Question 214925: can you please check if i got the right answer for this problem: 2√8+7√8/1-√2
these are my steps:
9√8/1-√2 multiplied by (1+√2/1+√2)
9√8(1-√2)/1+2
and this is my answer: 9√8(1-√2)/3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Unfortunately, that is not the correct answer. You can use a calculator to find the approximations of the two expressions. If the expressions are close enough approximately, then chances are they are equal. In this case, I found that
(approximately)
and
(approximately)
So
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To make things simpler, simplify the numerator to get: . I.e.
So the expression then becomes
Start with the given expression.
Multiply the fraction by
Combine the fractions.
Distribute
Multiply
Rearrange the terms.
FOIL
Combine like terms.
Reduce.
So
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Answer:
Since this means that
which is our answer.
Check: take note that
(approximately)
and
(approximately)
So this verifies our answer.