Given: If x=6, what is the smallest natural number y that makes x2+y2 rational .
To Find: Smallest value if y so that the expression is rational .
Solution : On substituting x = 6 , we have
Now for the whole expression has minimum value y^2 should be minimum , also y should be natural no. The set of Natural no. is ,
Therefore the smallest Natural no. is 1 . Therefore minimum value of y is 1.
<u>T</u><u>h</u><u>e</u><u> </u><u>m</u><u>i</u><u>n</u><u>i</u><u>m</u><u>u</u><u>m</u><u> </u><u>v</u><u>a</u><u>l</u><u>u</u><u>e</u><u> </u><u>o</u><u>f</u><u> </u><u>y</u><u> </u><u>i</u><u>s</u><u> </u><u>1</u><u>.</u>