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Geometry/Radicals and Exponents

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Question
Hello sir

Sir radicals in maths and exponents are same. Because both are in raised to form. Sir can you tell me why raised to form is given two names means there is any reason behind that.

Thankyou

Answer
Hi Aishwarya,

"Radical" is another word for "root" (like square root or cube root).  Radicals tend to refer fractional exponents, particularly the denominator of the exponent.  So if we have the x^(1/2), that can be written as the square root of x.  If we have x^(2/3), that can be written as the cube root of x squared.

If we had x^2, there would be no mention of radical.

Hope this helps,
Azeem

Geometry

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Azeem Hussain

Expertise

I welcome your questions on algebra, 2D and 3D geometry, parabolic functions and conic sections, and any other mathematical queries you may have.

Experience

4 years as a drop-in and by-appointment tutor at Champlain College. Private tutor for dozens of clients over the past 8 years.

Publications
CALPHAD: Computer Coupling of Phase Diagrams and Thermochemistry

Education/Credentials
Bachelor of Science, Major Mathematics and Major Economics, McGill University, 2014. Diploma of Collegiate Studies; Pure and Applied Science, Champlain College Saint-Lambert, 2010.

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