SOLUTION: I need a little help solving this expression. Simplify
{{{(50+sqrt125)/5}}}
Algebra.Com
Question 103977: I need a little help solving this expression. Simplify
Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the expression
First lets reduce
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Start with the given expression
The goal of simplifying expressions with square roots is to factor the radicand into a product of two numbers. One of these two numbers must be a perfect square. This way the perfect square will become a rational number.
So let's list the factors of 125
Factors:
1, 5, 25, 125
Notice how 25 is the largest perfect square, so lets break 125 down into 25*5
Factor 125 into 25*5
Break up the square roots using the identity
Take the square root of the perfect square 25 to get 5
So the expression
simplifies to
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Simplify the square root (using the technique above)
Break up the fraction
Divide to get
Divide to get
So the expression
simplifies to
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
now we have: , take it out of sqrt, and we will have
now divide by 5 both nominator and denominator, and you will have
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