180k views
1 vote
If rootover of21 is 4.58 then find the rootover of 3/7

User IanGabes
by
7.7k points

1 Answer

5 votes
To find the square root of a fraction, we can take the square root of the numerator and the square root of the denominator separately.

Given that √21 = 4.58, we can calculate the square root of 3/7 as follows:

√(3/7) = √3 / √7

Now, using the value of √21 = 4.58, we can simplify further:

√(3/7) = (√3 / √7) * (√21 / √21)

= (√(3*21)) / (√(7*21))

= √63 / √147

At this point, we can simplify the square roots if possible, but we cannot simplify the roots any further since 63 and 147 do not have perfect square factors. Therefore, the most simplified form of the square root of 3/7 is:

√(3/7) = √63 / √147
User Andrei Lupuleasa
by
8.3k points

Related questions

1 answer
1 vote
222k views
asked Feb 16, 2016 95.0k views
Chris Drackett asked Feb 16, 2016
by Chris Drackett
8.6k points
2 answers
3 votes
95.0k views
asked Mar 10, 2023 748 views
Yasser AKBBACH asked Mar 10, 2023
by Yasser AKBBACH
8.3k points
2 answers
3 votes
748 views