the rationalising factor of ab√a/b is
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.
We know that If the product of two surds is a rational number, then each factor is a rationalising factor of the other.
Now multiply
ab
to a
ab
to make
ab
a rational number as shown below:
(
ab
)×(a
ab
)=a(ab)=a
2
b
Hence,
ab
is the rationalising factor of a
ab
.
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