Subscribe to our βΆοΈYouTube channelπ΄ for the latest videos, updates, and tips.
Home | About Us | Contact Us | Privacy | Math Blog
In square root of number in the fraction form, suppose the square root of a fraction xa is that fraction ya which when multiplied by itself gives the fraction xa.
If x and y are squares of some numbers then,
If the fraction is expressed in a mixed form, convert it into improper fraction.
Find the square root of numerator and denominator separately and write the answer in the fraction form.
1. Find the square root of 625256
Solution:
β625256=β625β256
Now, we find the square roots of 625 and 256 separately.
Thus, β625 = 25 and β256 = 16
β β625256=β625β256 = 2526
2. Evaluate: β441961.
Solution:
β441961=β441β961
Now, we find the square roots of 441 and 961 separately.
Thus, β441 = 21 and β961 = 31
β β441961 = β441β961 = 2131
3. Find the values of β72 up to 3 decimal places.
Solution:
To make the denominator a perfect square, multiply the numerator and denominator by β2.
Therefore, β7Γβ2β2Γβ2 = β142
Now, we find the square roots of 14 up to 3 places of decimal.
Thus, β14 = 3.741 up to 3 places of decimal.
= 3.74 correct up to 2 places of decimal.
Therefore, β142 = 3.742 = 1.87.
4. Find the square root of 156169
Solution:
156169 = 225169
Therefore, β156169 = β225169=β225β169
We find the square roots of 225 and 169 separately
Therefore, β225 = 15 and β169 = 13
β β156169 = β225169=β225β169 = 1513 = 1213
5. Find the value of β243β363.
Solution:
β243β363 = β243363 = β81121=β81β121 = 911
6. Find out the value of β45 Γ β20.
Solution:
β45 Γ β20 = β(45 Γ 20)
= β(3 Γ 3 Γ 5 Γ 2 Γ 2 Γ 5)
= β(3 Γ 3 Γ 2 Γ 2 Γ 5 Γ 5 )
= (3 Γ 2 Γ 5)
= 30.
β Square Root
Square Root of a Perfect Square by using the Prime Factorization Method
Square Root of a Perfect Square by Using the Long Division Method
Square Root of Numbers in the Decimal Form
Square Root of Number in the Fraction Form
Square Root of Numbers that are Not Perfect Squares
Practice Test on Square and Square Roots
β Square Root- Worksheets
Worksheet on Square Root using Prime Factorization Method
Worksheet on Square Root using Long Division Method
Worksheet on Square Root of Numbers in Decimal and Fraction Form
8th Grade Math Practice
From Square Root of Number in the Fraction Form to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Jul 15, 25 11:46 AM
Jul 15, 25 02:46 AM
Jul 15, 25 02:01 AM
Jul 14, 25 01:53 AM
Jul 11, 25 02:14 PM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.