Question

1.How to find rational number between $3$ and $5$

2. How to find square root of any number

3. What is square root ?

Answer 1

1.If $m$ and $n$ be two rational numbers such that $m<n$ then $\frac{1}{2}(m+n)$ is a rational number between $m$ and $n$.

A rational number between $3$ and $5$ is $\frac{1}{2}(3+5)=4$.

On using this method again and again, we can find infinite rational numbers between two ration numbers.

2. Square root of any number can be found using the following methods,

a) Prime Factorization

b) Long Division Method

c) Approximation Method

3. Square root of a number is a value, which on multiplication by itself gives the original number. The square root is an inverse method of squaring a number.