Square Root and Cube Root  Shortcuts and Formulas
Square Root and Cube Root Questions  Page 2
Square Root and Cube Root Video Lecture  Page 3
Square Root of a Number
The square root of a number is that number , the product of which by itself , is equal to the given number.
Important Example for Square Root and Cube Root
Example 1: The square root of x is denoted by
Thus etc.
Square Root of Factorization: When a given no is perfect square we resolve it in to prime factors and take the product of prime factors. choosing one out of every pair
Example 2: Given that = 3.8729 evaluate
Solution:
=
= =
= 4+3.8729 = 7.8729
Example 3: if = 37 find the value of
Solution: Given expression is ,
= = 3.7+0.37+0.037 = 4.107
Cube Root of a Number: The cube root of a number x is the number whose cube is x . we denote cube root of x by
Cube Root of Factorization: Resolve the given number in to prime factor and take the product of prime number .
thus =7
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