Anonymous

How Do I Simplify Square Root Algebra Problems?

5 Answers

Anonymous Profile
Anonymous answered
Square root
(5y-3)^2
Anonymous Profile
Anonymous answered
Solve
x square root 2 minus 16 equals zero
Oddman Profile
Oddman answered
Different simplification problems require different approaches. Some square root problems are solved here and here and here.

For rational expressions with a square root in the denominator, you generally multiply by 1 renamed as the "conjugate" of the denominator divided by itself. This takes advantage of the factoring
a2-b2=(a+b)(a-b)

Usually simplification requires removing squares from under the radical.

Examples
1/√2 = (1/√2)*((√2)/(√2)) = (√2)/(√2)2 = (√2)/2

1/((√2)-√3) = (1/((√2)-√3))*((√2)+√3)/((√2)+√3) = ((√2)+√3)/((√2)2 - (√3)2)
= ((√2)+√3)/(2-3) = -((√2)+√3)

√20 = √(4*5) = (√4)(√5) = 2√5

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