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how to find the simplest radical form

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From Yahoo Answers

Question:How to put the following in simplest radical form? 1. ( 2 - 3) ( 2 + 3) 2. ( 3 - 5) ( 3 - 5) Thanks.

Answers:2-9 = -7 3 -2Sq rt 15 +5 = 8- sqrt 15

Question:4 algebra problems, express in simplest radical form? please show how you got the answers (note means the square root Symbol seeing as that's as close as i can get to it 1. 2 + 2/49 2. 3 2 + 50 3. ( 2-3)( 2+3) 4. ( 3 - 5)( 3- 5)

Answers:1. 2 + (2/49) = 2 + ( 2 / 49) = 2 + ( 2 / 7) = (7 2 / 7) + ( 2 / 7) = (8 2 / 7) 2. 3 2 + 50 3 2 + 50 = 3 2 + (25 * 2) = 3 2 + 5 2 = 8 2 3. ( 2-3)( 2+3) ( 2-3)( 2+3) = ( 2)^2 - (3)^2 = 2 - 9 = -7 4. ( 3 - 5)( 3- 5) ( 3 - 5)( 3- 5) = ( 3)^2 - 2( 3)( 5) + ( 5)^2 = 3 - 2 15 + 5 = 8 - 2 15

Question:5 algebra problems, express in simplest radical form? please show how you got the answers (note means the square root Symbol seeing as that's as close as i can get to it 1.3 13/3 2. m m^2 3. 3 2 + 5 2 4. 3 8 + 2 16 5. m^2/n^3

Answers:1. 3 (13/3) = 3 (4*1/3) = 6 (1/3) 2. (m) (m^2) = m (m) 3. 3 (2) + 5 (2) = 8 (2) 4. 3 (8) + 2 (16) = 3 (4*2) + 2 (16) = 6 (2) + 8 5. (m^2/n^3) = (m^2*1/n^3) = m (1/n^3)

Question:please explain to me how to find the simplest form of: a - 64 (a - 8) (a - 7)

Answers:a - 64= (a-8)(a+8) so you can cancel one of the (a-8) on top with an (a-8) on bottom. This leaves you with (a+8) / (a-7)

From Youtube

Simplest Radical Form and The Pythagorean Theorem :The first topic of this video models how to write square root expressions in simplest radical form. Second, this video discusses and uses the Pythagorean Theorem to solve problems.

Writing Fractions in Simplest Form :Shows how to simplify fractions.