- to understand the concept of square root and cube root as fractional exponent
- to be able to calculate square root and cube root in various method
Now as you have learnt about standard exponent using common number, you must be able to calculate any exponent number you want. In fact if you got difficulties in counting big exponent, you might use calculator.
But, what if the exponent is a fraction? Well actually, some of you must know about this kind of exponent. Yes this exponent called fractional exponent or commonly we called it square root, cube root and so on (see image above)
Read more on http://www.mathsisfun.com/algebra/exponent-fractional.html to know the reason why it is called fractional exponent. So this concept will all make sense for you
How do we calculate square roots and cube roots?
Well there are some ways that you can do, following these methods below:
- To find/ calculate square roots by guessing and check method or by using algorithms or long division method you may follow this link http://www.homeschoolmath.net/teaching/square-root-algorithm.php
- To calculate cube root using prime factorization method you can use this link http://www.mathguru.com/level1/cubes-and-cube-roots-2008081300031405.aspx
- To calculate cube root mentally without calculator, use this magical ways found in this website http://www.mindmagician.org/cubert.aspx and do the same with square root http://www.mindmagician.org/sqrt.aspx
So after you understand about fractional exponent and know how to calculate them? you need to have some practices.
1. Make the square and cube number list from 1^2 until 20^2 and 1^3 until 20^3
2. Find the square root and cube root of bigger number, using methods that you have learnt above.
e.g.
- cube root of 2744, 21952, 148877
- and square root of 3844, 1444, 529, 256
Have fun with square an cube roots!