Find the decimal fraction which when multiplied by itself gives 84.64.
Solution:
Given, a decimal fraction is multiplied by itself.
The product is 84.64.
We have to find the decimal fraction.
Let the decimal fraction be x.
According to the question,
x × x = 84.64
x² = 84.64
Square root is an inverse operation of a square.
So, x = √84.64
Long division method is an easy method to get the accurate square root of numbers.
There are 5 main operations that are used- divide, multiply, subtract, bring down and repeat.
By using long division,
So, √84.64 = 9.2
Therefore, x = 9.2
✦ Try This: Find the decimal fraction which when multiplied by itself gives 56.25.
☛ Also Check: NCERT Solutions for Class 8 Maths
NCERT Exemplar Class 8 Maths Chapter 3 Problem 112
Find the decimal fraction which when multiplied by itself gives 84.64
Summary:
The decimal fraction which when multiplied by itself gives 84.64 is 9.2
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