'Surds' diaporamas de présentation

Surds & Indices

Nat 5. Surds & Indices. What is a surd ?. What are Indices. Simplifying a Surd. Add/Sub Indices. Rationalising a Surd. Power of a Power. Conjugate Pairs (EXTENSION ). Negative / Positive Indices. www.mathsrevision.com. Fraction Indices. Exam Type Questions. Nat 5. Starter Questions.

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Year 9

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LEAVING CERT ALGEBRA

LEAVING CERT ALGEBRA. SUMMARY OF THE SECTIONS IN L.C. ALGEBRA. 1. SIMPLIFY. Squaring Rule. Division in Algebra. Surds. Common (grouping). Quadratic. 2. FACTORS. Difference of two squares. Sum and difference of two cubes. Linear. Quadratic. Cubic. 3. FUNCTIONS AND EQUATIONS.

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C H A P T E R 4 Indices and Surds

C H A P T E R 4 Indices and Surds. 4.1 Review of the index laws. simplify. 4.2 Negative indices. Example: Express the following using positive indices. Simplify the following and express your answers with positive indices.

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Surds

Surds. What is a surd?. Surds. 1. example. Simplify. Surds. Rules. In general. Surds. Rules. In general. Surds. Rules. However. Surds. 2. example. Simplify. Surds. 3. example. Simplify. Surds. 4. example. Simplify. Surds. 5. example. Simplify. Surds.

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SURDS

SURDS. What is a surd? Manipulating and simplifying surds. SURDS. 28/07/10. What is a surd?. A surd is a square root which cannot be reduced to a whole number. Examples : ?2 is a surd. ?5 is a surd. ?81 looks like a surd, but isn't really. SURDS. ?2 = 1.4142135623730950488...

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SURDS

28/07/10. SURDS. What is a surd? Manipulating and simplifying surds. SURDS. 28/07/10. What is a surd?. A surd is a square root which cannot be reduced to a whole number. Examples : ?2 is a surd. ?5 is a surd. ?81 looks like a surd, but isn't really. SURDS.

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The Laws Of Surds.

The Laws Of Surds. What Is A Surd ?. Calculate the following roots:. = 3. = 5. = 2. = 6. = 2. All of the above roots have exact values and are called rational. Now use a calculator to estimate the following roots:. All these roots do not have exact values and are called irrational.

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Surds

Surds. Simplifying Surds. 36. 27. 9 x 3. 9. 3. 3. 3. 6. x. Perfect Square!. x. 3. 3. Simplifying. 4. 8. 8. 4 x 2. 4 x 8. 2. 2. 8. 2. 2. 4. 16 x 2. 16. 32. 2. 2. 2. x. x. x. 2. 2. x. x. x. 4. 2. 2. x. 2. 4. 4. Multiply Surds. 12. 4 x 3. 6. 2.

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Simplifying Surds

Simplifying Surds. Using Division. What is to be learned?. How to simplify surds using division. Already Known. ?8 = ?4 X ?2 so ?4 X ?2 = ?8 . Nice Rule ?. How About. ?15. Another Nice Rule ?. = ?5. ?3. Sometimes This Works Very Nicely. ?12. = ?4. ?3. = 2. ?700.

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Surds 1

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Surds

Surds. ?. 1. . Example : . 2. Example : . Example : . 3. Example : . 4. Only like surds can be added or subtracted. Example : . Example : . Example : . When simplifying surds we use the following :. 5. Multiplying surds. . Irrational Denominator. Rational Denominator.

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Further Surds and Indices

Further Surds and Indices . AS Maths 2011. Find the area and the perimeter of the right angled triangle shown. In each case, express your answer in the form .

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