Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

How do you find the square root of 208?

Answer
VerifiedVerified
472.5k+ views
1 likes
like imagedislike image
Hint: In the above question you were asked to find the square root of 208. So first you have to find the factors of 208 and then you will check if there is any square term. If there is any such square term then you can take that digit out of square root. So let us see how we can solve this problem.

Complete Step by Step Solution:
In the given question we have to find the value of 208. So first we will find the factors of 208.
 =4×4×13
 =42×13
We can take 42 out of the root
 =413

Therefore, the square root of 208 is 413.

Additional Information:
The symbol is known as radical. If a square root of n is given then you can also write n=n12 , for the cube root of n, it can be written as n3=n13 . So the answer to the above question can also be written as in this form but 413 is convenient and easy to understand.

Note:
In the given question we take the factor of 208 and then took the square term which is 4 out of square root. After which we got our answer. Also, we could convert 413 into a fraction, it will give 14.422.
Latest Vedantu courses for you
Grade 11 Science PCM | CBSE | SCHOOL | English
CBSE (2025-26)
calendar iconAcademic year 2025-26
language iconENGLISH
book iconUnlimited access till final school exam
tick
School Full course for CBSE students
PhysicsPhysics
ChemistryChemistry
MathsMaths
₹41,848 per year
Select and buy
WhatsApp Banner