Simplifying square roots | Exponent expressions and equations | Algebra I | Khan Academy

Simplifying Square Roots

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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

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[sara.conley]

I'm so confused I'm actually crying😭

[elyssasmith]

definitely went way over my head tis time...

[elbay]

Sal,

Is the original expression defined for all 'x', or only for non-negative values of 'x'? I ask because then the absolute value of 'x' simplifies to 'x', correct?

'keep these videos coming, they're great!

[watsupboy]

love your video LOL IT HELPED ME ALOT THANks

[zschwartz]

So what if the exponent is even? I understand how odd exponents work, but dont remember even ones... Also, if possible could you add a 2nd example for a diferent situation (in this case if the exponent is even) Thanks your videos are great

[brendanwilson]

Sal, regarding elbay2's comment: If you declare from the outset that you are looking for the principal square root, is it still necessary for you to specify to the user doing the problem that x can't be negative?

[bobby]

Sal,
can you write the expression "square root of x" as x^(1/2) and thus simplify the expression to 30*x^(3/2)*(square root of 5) ? Do you need to write |x|, since the original expression requires x>=0 ?

[Stlwartheart]

remember to hold shift the entire way of just use capslock

[peppersbeast]

this video makes me think of back when i was pounding my nail into the hose in my front yard while eating cheese squares while they were graded on sensitivity just to let u know i smell poop