Rational numbers

SIMON PAMPENA: It's mind blowing. I learned this when I was at uni, the existence of transcendental numbers. And the name was a selling point. Because I was like, transcendental. You know,...

So I'm curious as to what happens if I were to take a rational number and I were to add it to an irrational number. Is the resulting number going to be rational or irrational? Well, to think...

IN CHAPTER 7, WE ARE LOOKING AT RATIONAL EXPRESSIONS AND THAT'S REFERRING TO EXPRESSIONS THAT LOOK ALMOST LIKE A FRACTION. IN FACT, IT IS A FRACTION, BUT THE NUMERATOR AND DENOMINATOR ARE MADE...

Let's add some more rational expressions. So let's say I have 1 over x squared minus 9. And to that I'm going to add 2 over x squared plus 5x, plus 6. So just like we did when...

- HERE WE'RE GIVEN A RATIONAL FUNCTION. IN THE NUMBER ONE, ASKED TO FIND THE DOMAIN, NUMBER TWO, ASKED TO DETERMINE THE OPEN INTERVALS FOR WHICH THE FUNCTION IS INCREASING OR DECREASING, AND...

- IN ORDER TO ADD OR SUBTRACT RATIONAL EXPRESSIONS JUST LIKE FRACTIONS, WE MUST HAVE A COMMON DENOMINATOR. SO, WHEN ADDING OR SUBTRACTING RATIONAL EXPRESSIONS, THE FIRST STEP IS TO MAKE SURE THE...

Let's do one more fairly involved example of adding, or in this case actually subtracting rational expressions. Let's say I have 4 over 9x squared minus 49. And from that I want to...

This video is going to be about simplifying expressions with rational exponents. So let's look at an example. Here I've got an expression, x-to-the-1/4 times 8x-to-the-1/2 and that...

TO ADD RATIONAL EXPRESSIONS, JUST LIKE ADDING FRACTIONS, WE MUST HAVE A COMMON DENOMINATOR. SO TO START THIS, I'M GOING TO GO AHEAD AND REWRITE THESE FRACTIONS AND PUT THE NUMERATORS AND...

(male narrator) In Part 1 of this video, we reviewed our exponent properties and talked about how we could use those exponent properties to simplify expressions with rational exponents. Here is...