how many rationalizing factors does a surd have
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In other words, the process of reducing a given surd to a rational form after multiplying it by a suitable surd is known as rationalization. When the product of two surds is a rational number, then each of the two surds is called rationalizing factor of the other.
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The factor of multiplication by which rationalization is done, is called as rationalizing factor. If the product of two surds is a rational number, then each surd is a rationalizing factor to other. Like if √2 is multiplied with √2, it will 2, which is rational number, so √2 is rationalizing factor of √2.
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