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Mathematics 12 Online
OpenStudy (otakulyfe):

i need help with algebra conjugates

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

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

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

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

Vocaloid (vocaloid):

|dw:1465323709348:dw|

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