Question

if the product of two surds is a rational number then each of them is called the​

Answer 1

Answer:

conjugate of each other

Answer 2

$If \:the\: product\: of \:two\: surds\: is\: a\\ rational \:number \:then \:each\: of \:them\: is\\ called \:the\\\underline { \pink { rationalising \: factor \: (R.F) \:of \:other. }}$

Example:

$Let \: a = \sqrt{3} \:and \: b = 5\sqrt{3} \:are \\two \:surds$

$Product \:of \:a \:and \:b \\= \sqrt{3} \times 5\sqrt{3} \\= (\sqrt{3} \times \sqrt{3} )\times 5 \\= 3 \times 5 \\= 15 \: \blue { ( a \: rational \:number)}$

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