Mathematics
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OpenStudy (otakulyfe):
i need help with algebra conjugates
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OpenStudy (otakulyfe):
Vocaloid (vocaloid):
any ideas how to start?
OpenStudy (otakulyfe):
multiply the numerator by the denominator
Vocaloid (vocaloid):
nope, not quite
OpenStudy (otakulyfe):
i have no clue then thats how i was told to start
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Vocaloid (vocaloid):
what is the conjugate of
3 sqrt(2) + 2 sqrt(3)?
OpenStudy (otakulyfe):
5sqrt(5)
OpenStudy (otakulyfe):
i think
OpenStudy (otakulyfe):
@.Mehek.
Vocaloid (vocaloid):
not quite
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Vocaloid (vocaloid):
when you have an expression like
A + B
the conjugate just switches the sign in the middle
so the conjugate is just A - B
Vocaloid (vocaloid):
so, what do you think the conjugate of
3 sqrt(2) + 2 sqrt(3) is?
OpenStudy (otakulyfe):
ok so its 3 sqrt(2) - 2 sqrt(3)
Vocaloid (vocaloid):
good
Vocaloid (vocaloid):
now, we multiply the numerator AND the denominator by the conjugate
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Vocaloid (vocaloid):
|dw:1465323514204:dw|
Vocaloid (vocaloid):
|dw:1465323576228:dw|
Vocaloid (vocaloid):
do you know how to simplify that?
Vocaloid (vocaloid):
((also, if the sqrt thing is confusing, replace "sqrt" with the radical symbol)
Vocaloid (vocaloid):
actually let me just rewrite it
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Vocaloid (vocaloid):
|dw:1465323709348:dw|