Algebra
9 Online
OpenStudy (anonymous):
√ a+√ b/√ a-√ b
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OpenStudy (mertsj):
Multiply numerator and denominator y the conjugate of sqrta-sqrtb which is sqrta + sqrtb
OpenStudy (anonymous):
\[\sqrt{a +\sqrt{b \div \sqrt{a -\sqrt{b}}}}\]
OpenStudy (anonymous):
im still a bit confusedd
OpenStudy (anonymous):
a times a and b times b?
OpenStudy (mertsj):
\[\frac{\sqrt{a}+\sqrt{b}}{\sqrt{a}-\sqrt{b}}\]
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OpenStudy (mertsj):
Is that the problem?
OpenStudy (anonymous):
it should be like that right ?
OpenStudy (anonymous):
yes yes thats the problem
OpenStudy (anonymous):
kk like he said multiplie by the conjugate
OpenStudy (anonymous):
yes like @mertsj wrote
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OpenStudy (anonymous):
of denominator
OpenStudy (mertsj):
\[\frac{\sqrt{a}+\sqrt{b}}{\sqrt{a}-\sqrt{b}}\times\frac{\sqrt{a}+\sqrt{b}}{\sqrt{a}+\sqrt{b}}=\frac{a+2\sqrt{ab}+b}{a-b}\]
OpenStudy (anonymous):
thats different i thought we were supposed to multiply them by each other
OpenStudy (anonymous):
no always you should mutiply by the conjugate of denominator
OpenStudy (anonymous):
denominator si √ a+√ b then you multiply by √ a-√ b
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OpenStudy (anonymous):
and like mertsj solved it it cant be simplified furrther cuz they r vaiables right?
OpenStudy (anonymous):
good job :)
OpenStudy (anonymous):
thank u guys so much :D i really appreciate it
OpenStudy (anonymous):
^^
OpenStudy (anonymous):
:)
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OpenStudy (mertsj):
yw
OpenStudy (anonymous):
:)
OpenStudy (anonymous):
theres one more its \[\sqrt{5+1}\div \sqrt{5-1}\]
this would be done like that too