Question

what is the rational number with two decimal places between the square root of 5 of the number lies

Answer 1

Step-by-step explanation:

Sq. Root of 5=2.236068

We can just consider first 4 digits after decial point, then, we get ,2.2360..

When you are approximating the value, you need to check if its less than or more than 5,if its more or equal to 5 we can just add 1 to previous decimal place.

Consider 3.3279 to be corrected to 3 decimal places, check from right to left, 9 is its 4th decimal place, which is greater than 5..so you need to add 1 to its 3rd decimal place(7 is its 3rd decimal place) , then, approximation of 3.3279 to 3rd decimal place would be 3.328.

Hence, approximation of square root of 5=2.2360 would be 2.24…