GMAT Prep - Math - Algebra - Square Roots by Knewton

Go to http://www.knewton.com/gmat/ for hundreds of GMAT math and verbal concepts, thousands of practice problems and much more. Knewton GMAT is a GMAT prep course that redefines everything you thought you knew about online learning.

The square root of a number is a non-negative number that must be multiplied by itself to arrive at that original number. Let's look at an example.

5 x 5 = 25.

So the square root of 25 is 5. We have to multiply 5 by 5 to get back to 25.

-5 x -5 = 25, but the square root of 25 is not -5. It's only 5. It's defined to be positive or zero. Other examples are: the square root of 16 is 4, the square root of 1 is 1, and the square root of 0 is 0.

The square root of x squared is only equal to x if x is greater than or equal to zero. However, if x is a negative number, we square it to get a positive number. The square root will also be a positive number. So the square root of x squared when x is negative is --x because it has to be a positive number.

Just because a square root can only be positive, that doesn't change the fact that x squared has two solutions, x = 1 and x = -1. A final reminder: a negative number has no real square root because there's no way we can multiply a number by itself and get a negative number.




Subscribe to this channel for tips, explanations, and Q&A about the GMAT and getting your MBA.

Category:

Education

Tags:

• www.knewton.com
• Knewton
• GMAT
• MBA
• business
• school
• test
• prep
• math
• verbal
• quantitative
• exam
• preparation
• study guide
• admissions
• GMAT prep
• GMAT course
• GMAT practice
• GMAT problems
• GMAT quant
• GMAT math
• algebra

[adhiluhur]

stupid

[vict0r1ous]

wheres the music

[arunasree2020]

Excellent expression, and valuable lesson for square root