## Find the decimal fraction which when multiplied by itself gives 176.252176.​

Question

Find the decimal fraction which when multiplied
by itself gives 176.252176.​

in progress 0
1 month 2021-08-16T19:00:47+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

Let the numerator and denominator of the fraction be x and y respectively.

The fraction formed is x/y.

ATQ,

\frac{x}{y} \times \frac{x}{y} = 176.252176 \\ ({ \frac{x}{y}) }^{2} = 176.252176 \\ \frac{x}{y} = \sqrt{176.252176} \\ \frac{x}{y} = \sqrt{ \frac{176252176}{1000000} } \\ \frac{x}{y} = \sqrt{ \frac{13276 \times 13276}{100 \times 100} } \\ \frac{x}{y} = \frac{13276}{100}

Hope this helps you..

Let the one decimal fraction be x

Now,

2x =176.252176

x =176.252176/2

x =88.126088