Question

How many natural numbers exist between the squares of 28 and 29

Answer 1

Step-by-step explanation:

28*28_29*29

784_841

57 natural numbers are between them.

Answer 2

56 natural numbers exist between the squares of 28 and 29.

Step-by-step explanation:

Given data:

square of 28 and square of 29

That is 28² and 29².

To find how many natural numbers are exist between 28² and 29²:

Using algebraic identity a² – b² = (a + b)(a – b)

No. of numbers between 28² and 29²

                                           = 29² – 28² – 1

                                           = (29 + 28)(29 – 28) – 1

                                           = (57)(1) – 1

                                           = 57 – 1

                                           = 56

Hence 56 natural numbers exist between the squares of 28 and 29.

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