Lesson38

Lesson38 - (2 4 8)( 3 2 5) = ⋅ ⋅ ⋅ ⋅ Remember that...

Info iconThis preview shows pages 1–3. Sign up to view the full content.

View Full Document Right Arrow Icon
1 Lesson 38 Sections 7.5 When two radicals have the same indices (plural of index) and same radicands, they are said to be 'like radicals'. They can be combined the same as 'like terms'. Like Radicals: 3 , , 4 r r r - 3 3 3 2 5 , 3 5 , 12 5 m x m m - 4 4 4 5 5, 10 5, 2 5 - Unlike Radicals: 3 4 , 2 x x 3 3 3 4, 5, 10 Add like terms: y x y x y x 9 8 12 10 3 2 - - = - - + Add like radicals: 3 3 3 4 9 2 8 4 12 2 10 4 3 2 2 - - = - - + Like radicals can be combined must like ‘like terms’; add the coefficients of the radicals and keep the ‘like’ radical. Simplify by combining 'like radicals'. 1) = - + 3 3 3 7 5 7 8 7 7 2) = - + - 2 10 3 8 3 7 2 5 3) = + + - 3 2 3 4 3 3 9 3 3 Sometimes radicals must be simplified before combining . 4) = - 8 4 50 9 5) = - x x 12 3 4 3 6) = + 3 3 54 5 81 2
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
2 7) = + - - 18 128 4 32 3 98 5 Multiply the following radicals: (2 3)(4 2)(8 5)
Background image of page 2
Background image of page 3
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: (2 4 8)( 3 2 5) = ⋅ ⋅ ⋅ ⋅ Remember that the product rule for radicals says radicands can be multiplied as long as the indices are the same. 30 64 = Multiply using either the distributive property or FOIL. 8) =-) 5 3 2 ( 5 9) =-) 3 2 6 2 ( 3 10) = +-) 5 2 )( 5 4 ( 11) = +-) 2 3 5 )( 2 7 2 ( 12) = + 2 ) 6 3 ( 3 13) =-2 ) 2 3 ( x The following binomials are called conjugates. With conjugates only do the F and L of FOIL. The ‘inner’ and ‘outer’ terms will be eliminated. Remember the pattern: 2 2 ( )( ) a b a b a b +-=-14) = +-) 3 4 2 )( 3 4 2 ( 15) =-+ ) 3 5 )( 3 5 (...
View Full Document

This document was uploaded on 01/21/2012.

Page1 / 3

Lesson38 - (2 4 8)( 3 2 5) = ⋅ ⋅ ⋅ ⋅ Remember that...

This preview shows document pages 1 - 3. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online