simplify each of the following by rationalising the denominator
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HERE IS UR ANSWER ⤵⤵
➡Rationalization -:
6 - 4√2 / 6 + 4√2
✔Now multiply it with its ratinalizing factor.
= (6 - 4√2 / 6 + 4√2)*(6 - 4√2 / 6 - 4√2)
= (6 - 4√2)^2 / (6)^2 - (4√2)^2
= (6)^2 + (4√2)^2 - 2*6*4√2 / 36 - 32
= 36 + 32 - 12*4√2 / 4
= 68 - 48√2 / 4
Taking 4 common ,,
4( 17 - 12√2) / 4
= 17 - 12√2
HOPE IT HELPS....☺✌
HERE IS UR ANSWER ⤵⤵
➡Rationalization -:
6 - 4√2 / 6 + 4√2
✔Now multiply it with its ratinalizing factor.
= (6 - 4√2 / 6 + 4√2)*(6 - 4√2 / 6 - 4√2)
= (6 - 4√2)^2 / (6)^2 - (4√2)^2
= (6)^2 + (4√2)^2 - 2*6*4√2 / 36 - 32
= 36 + 32 - 12*4√2 / 4
= 68 - 48√2 / 4
Taking 4 common ,,
4( 17 - 12√2) / 4
= 17 - 12√2
HOPE IT HELPS....☺✌
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