Rationalising factor of 5√7
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Given:
The number 7-3√5
To find:
The rationalising factor of 7-3√5
Calculation:
Rationalising factor : If the product of two surds is a rational number, then each of them is called as a rationalising factor
Let ‘x’ be the rationalising factor of 7-3√5
=> (7-3√5)(x) = Rational number
Suppose x = 7+3√5, then we get
=> (7-3√5)(7+3√5) = 49-9(5)
= 49-45
= 4
4 is a rational number. Therefore 7+3√5 is a rationalising factor
Final answer:
The rationalising factor of 7-3√5 is 7+3√5
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