To approximate the square root of any non perfect square number, you can perform a series of steps:
# Guess # Divide
# Average
For example, let's use the number 20.
# Guess - the square root of 20 is around 4. # Divide - 20 / 4 = 5 # Average - The average of 4 (our guess) and 5 (our quotient) is 4.5 # Now divide 20 by 4.5 = about 4.44 # Average 4.44 (our quotient) and 4.5 (our last average) = 4.472 # Repeat as many times as necessary to achieve a sufficient approximation.
Chat with our AI personalities
Two times the square root of 15 is the square root of 60. This is not a perfect square so we can only approximate it. It is about 7.75. Numbers such as 2 times the square root of 15 are known as irrational numbers since they cannot be written as a ratio or fraction.
200 is not a perfect square. Its square root is a fraction and the square root of a perfect square is always an integer.
A perfect square root is where the square root of a number equals another whole number. For example, the square root of 144 is 12. 12 is a whole number thus 144 is a perfect square root.
Square root of 125 is an irrational number and its approximate value is 11.180. So it lies between 11 and 12.
The square root of 13 is irrational. All square roots of whole numbers are irrational unless the number is a perfect square.