Day 126

Algebra: Chapter 11-4, p 495

Multiplying Radical Expressions

Remember that the `sqrt(a * b)` = `sqrt(a) * sqrt(b)` and you can’t go wrong. Make sure that you simplify and identify perfect squares. Practice makes perfect. The steps can be stated as:

  1. Multiplying
  2. Factoring to find perfect square factors
  3. Identifying perfect squares
  4. Simplify

For example:

`sqrt(3x^2) * sqrt(9x^3) = sqrt(3 * 9 *x^5) = sqrt(3 * 9 * x^4 * x)`

`= sqrt(9) * sqrt(x^4) * sqrt(3) * sqrt(x) = 3x^2 * sqrt(3x)`

Click this purplemath.com link for some more explanation and practice!

Math-8: Chapter 11-7, p 584

Quadrilaterals

Quadrilaterals are 4 sides figures, their total inside angles add up to 360°. Quadrilaterals are 4 sided figures. There are 3 types of quadrilaterals

  1. Quadrilaterals:have no pairs of parallel lines
  2. Parallelograms: have 2 pairs of parallel sides
  3. Trapezoids: have exactly 1 pair of parallel lines

Parallelograms are further subdivided into types

  • Rectangles: parallelograms with 4 congruent sides
  • Rhombus: parallelograms with congruent sides
  • Square: parallelogram with congruent sides and congruent angles

If 2 figures are similar, then the angles of 1 figure are congruent to the corresponding angles of the other figure. If 2 figures are similar, then their corresponding sides are proportional.

Remember too – a square is rectangle BUT a rectangle is NOT always a square!

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