Question

4. The smallest natural number, which when added to the difference of
squares
of 17 and 13 gives a perfect square, is
(a) 5
(b) 4
(c) 21
(d) 1
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And correct answer is d) is correct but u have to solve it step by step. ​

Answer 1

Step-by-step explanation:

(17)²-(13)²

289-169

120

when we add 1 in 120 we get 121 which is square of 11.

Answer 2

The difference of squares of 17 and 13 is given by 17

The difference of squares of 17 and 13 is given by 17 2

The difference of squares of 17 and 13 is given by 17 2 −13

The difference of squares of 17 and 13 is given by 17 2 −13 2

The difference of squares of 17 and 13 is given by 17 2 −13 2

The difference of squares of 17 and 13 is given by 17 2 −13 2 =289−169=120

The difference of squares of 17 and 13 is given by 17 2 −13 2 =289−169=120The nearest square number to 120 is 121 i.e 11

The difference of squares of 17 and 13 is given by 17 2 −13 2 =289−169=120The nearest square number to 120 is 121 i.e 11 2

The difference of squares of 17 and 13 is given by 17 2 −13 2 =289−169=120The nearest square number to 120 is 121 i.e 11 2 .

The difference of squares of 17 and 13 is given by 17 2 −13 2 =289−169=120The nearest square number to 120 is 121 i.e 11 2 .Hence, we need to add 1 to the given expression.