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If a - b = 7 and ab = 60, then find sqrt(a^2 + b^2).

 May 31, 2020
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List the factors of 60.

 - 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

 

Then determine what two numbers subtract to equal 7 and multipy to equal 60.

 

a = 12

b = 5


To find sqrt(a^2 + b^2), substitute the values of a and b like so:

 

sqrt((12)^2 + (5)^2) =

sqrt(144 + 25) = 

sqrt(169) = 13

 May 31, 2020
edited by auxiarc  May 31, 2020

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