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why (-25)^(1/2) is not real

 Sep 28, 2014

Best Answer 

 #1
avatar+23252 
+5

√-25 is not real because there is no real number, which when multiplied times itself, results in -25

5 x 5 = 25; -5 x -5 = 25 (these are the only two reasonable possibilities)

√-25 = √(-1 * 25) = √-1 * √25 =  √-1 * 5

The symbol 'i' is used to represent √-1, so the answer is usually written as 5i., where i is an imaginary number, not a real number.

 Sep 28, 2014
 #1
avatar+23252 
+5
Best Answer

√-25 is not real because there is no real number, which when multiplied times itself, results in -25

5 x 5 = 25; -5 x -5 = 25 (these are the only two reasonable possibilities)

√-25 = √(-1 * 25) = √-1 * √25 =  √-1 * 5

The symbol 'i' is used to represent √-1, so the answer is usually written as 5i., where i is an imaginary number, not a real number.

geno3141 Sep 28, 2014

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