NCERT Solutions for Chapter: Squares and Square Roots, Exercise 1: Exercise

How is the repeated subtraction method in dividing two numbers and finding square roots different$?$

$\sqrt{X}$ is a perfect square. Which of the following is/are true?

Which of the following is true?

What is the least natural number that should be added to the product of  $30$ and $31$, so that the sum obtained is a perfect square?

What is the fraction which when multiplied by itself gives $227.798649$

How to find square of $32$.

In a two-digit positive number, the digit in the unit's place is equal to the square of the digit in ten's place, and the difference between the number and the number obtained by interchanging the digits is $54$. What is $40\%$ of the original number?

Let $M=1!\times 2!\times 3!\times 4!\times 5!\times 6!\times 7!\times 8!\times 9!$. The number of factors of $\mathrm{M}$ which are perfect squares is $\left(21b\right)$. Then find the value of $b$.