Find two no.whose product is under root 180 gives rational no.

1.	Find two no.whose product is under root 180 gives rational no.
Answer» {tex}\\sqrt { 180 } = \\sqrt { 2 ^ { 2 } \\times 3 ^ { 2 } \\times 5 } = 6 \\sqrt { 5 }{/tex}On multiplying with\xa0{tex}\\sqrt { 5 }{/tex}\xa0and 1, we get{tex}6 \\sqrt { 5 } \\times \\sqrt { 5 } \\times 1 = 30{/tex}{tex}\\therefore{/tex}{tex}\\sqrt 5{/tex}\xa0and 1 are two numbers which on multiplication with {tex}\\sqrt{180} {/tex} gives a rational number.One is irrational and other is rational.

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