rationalize 3/√5+√2
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Answer:For example, 5√2√ is a surd where 5–√ is numerator and 2–√ is denominator. Now for rationalization of surds, if we multiply both numerator and denominator by 2–√, then denominator will be a rational number.
5√2√ = 5√×2√2√×2√
= 10√2.
So after rationalization of surd 5√2√, it is becoming 10√2 where 2–√ is used as rationalization factor.
In other words, if the product of two surds is rational, then each is called a rationalizing factor of the other and each is said to be rationalized by the other.
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