•understand the difference between surds and whole-number roots; •simplify expressions involving surds; •rationalise fractions with surds in the denominator.
You must ensure that your answers to parts of questions are clearly labelled. You must show sufficient working to make your methods clear. Answers without working may not gain full credit. 1. Write √(75) – √(27) in the form k √x, where k and x are integers.
Sep 6, 2015 · • Apply index laws to simplify algebraic expressions. • Use standard (scientific) notation to write small and large numbers. • Understand the difference between rational and irrational numbers.
Laws of Indices: Worksheets with Answers. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.
Surds and Indices NOTES.notebook June 18, 2019 Today's Learning: To simplify surds. Rules of Surds A surd is a root that doesn't work out nicely - they are irrational numbers. 1) x = 2) = 1) 12 2) 5 x 10 e.g. Simplify: 3) 5 2 x 3 8 4) 3 27
Fractions involving surds. As in the last worksheet on algebraic fractions, fractions involving surds are worked out simi-larly to fractions involving numbers. When adding and subtracting fractions the denominators must be the same for all the fractions involved in the calculation.
Surds are basically an expression involving a root, squared or cubed etc... There are some basic rules when dealing with surds. Example: √36 = 6. The above roots have exact values and are called Rational. Example: √2 = 1.41.
Express each of the following surds in the form m k n, where k, m and n are positive integers. a) 4.5 b) 12.5 c) 22.5 d) 24.5 e) 62.5 3 2 2, 5 2 2, 3 10 2, 7 2 2, 5 10 2