Question

Number of non-perfect square
numbers between squares of 51 and
52 is *​

Answer 1

Answer:

103 non-perfect square number in between squares of 51 and 52

Step-by-step explanation:

we can use the algebraic identity to find it

${a}^{2} - {b}^{2} = (a - b)(a + b) \\ {52}^{2} - {51}^{2} \\ = (52 - 1)(52 + 51) \\ = 1 \times 103 \\ = 103$

therefore we get the non - perfect square numbers between the two square numbers

Verification

${52}^{2} - {51}^{2} \\ = 2704 - 2601 \\ = 103$

hope you get your answer