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Q.

Find the smallest natural number by which 1200 should be multiplied so that the square root of the product is a rational number.


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a

3

b

7

c

8

d

6 

answer is A.

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Detailed Solution

Concept- The smallest natural integer must be used as x in this specific form of inquiry. The number that has to be multiplied by 1200 in order to make the result a complete square must then be determined by multiplying it by 1200 and taking the square root of the result.
Let's multiply the smallest natural number by x.
When we multiply and square the result, we get
Question Image Question ImageTherefore, 3 is the minimum natural number that must be multiplied by 1200 to produce a number that is rational.
Hence, the correct answer is option 1
 
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Find the smallest natural number by which 1200 should be multiplied so that the square root of the product is a rational number.