1 / 8

Dividing Radicals

Dividing Radicals. Dividing Radicals – the Basics. Like with multiplying radicals, to divide radicals they must have the same INDEX . Remember, division is often written as a fraction .

huyen
Download Presentation

Dividing Radicals

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Dividing Radicals

  2. Dividing Radicals – the Basics • Like with multiplying radicals, to divide radicals they must have the same INDEX. • Remember, division is often written as a fraction. • As with multiplying radicals, you can divide/reduce the coefficients to get the coefficient of the quotient, then divide/reduce the radicand to get the radicand of the quotient. • The final basic fact you need to know is: to take the root of a fraction, you take the root of both the numerator and denominator. • Lets try some examples…

  3. Divide num. & denom. by 3 Divide num. & denom. by 2 Divide num. & denom. by 25 • Are the indices the same? • YEP!!! Let’s do this! • Divide/reduce the coefficients and radicands. • Simplify your radical • Are the indices the same? • YEP!!! Let’s do this! • Divide/reduce the coefficients and radicands. • Simplify your radical. What happened to the denominator? Final check: are your radical and fraction completely simplified?

  4. How do you divide powers? • How do I take the square root of a fraction? • Take the square root of the numerator and denominator separately. But make your life easier – simplify your fraction first. • Now split it up and simplify. • Since the radicand is a fraction, simplify the fraction first. • Take the root of the denom. and numerator separately. • Simplify. Divide num. & denom. by 3 Divide num. & denom. by 7 Where does the -6 go?? Nope, we’re not done yet. One more small step for man, one giant leap for fraction kind..

  5. One of those really important math rules…. • You know you need to simplify fractions completely, combine like terms, simplify radicand, etc. before you can say you have ‘finished’ a problem. • One other rule you need to know is that you NEVER leave a radical in the denominator of a fraction! • We will use our knowledge of simplifying radicals and of equivalent fractions to make sure we don’t break this rule!

  6. Rationalizing Denominators Final check: are your radical and fraction completely simplified? Step 1 – simplify our fraction Step 2 – simplify our radicands Step 3– rationalize the denominator Why do we still have a radical in the denominator? What would we need for the radical to simplify?

  7. Rationalizing Denominators Final check: are your radical and fraction completely simplified? Step 1 – simplify the fraction Step 2 – split it up and simplify the radicands Step 3– rationalize the denominator Why do we still have a radical in the denominator? What would we need for the radical to simplify?

  8. Rationalizing the Denominator

More Related