Question

Between which two consecutive whole number does the square root of 38 lie

Answer 1

Answer:

6 and 7 are the two consecutive whole numbers between which square root of 38 lie

Step-by-step explanation:

There are two methods to solve this problem

First method:

In this method we will find the square root of 38.

square root of 38 is 6.16

and 6.16 lies between 6 and 7

Therefore 6 and 7 are the two consecutive whole numbers between which square root of 38 lie.

Second method:

In this method we will find the square of the numbers which is close to 38

so there are two numbers 36 and 49 which are squares of 6 and 7 respectively.

therefore square roots of all the numbers which lie between 36 and 49 lie between 6 and 7

Answer 2

So rather than think about how to find the whole numbers, let's try to find the two perfect squares nearest to 38. There is one greater than it and one smaller than it. The square root will lie between the squared value of each. (e.g. 64 is the perfect square, 8 is the squared value i refer to)

6 ,7. 6squared is 36 and 7 squared is 42

therefore 38 lies between these two numbers