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
plz don't spam.
And correct answer is b) is correct but u have to solve it step by step. ​

Answer 1

Answer:

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

2

−13

2

=289−169=120

The nearest square number to 120 is 121 i.e 11

2

.

Hence, we need to add 1 to the given expression.

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Answer 2

Answer:

(d) 1

Step-by-step explanation:

17² - 13²

=> 289 - 169

= 120

option a) 120+5 = 125....not a perfect square

b) 120+4 = 124 ...not a perfect square

c) 120+21 = 141....not a perfect square

d) 120+1 = 121..... perfect square