SOLUTION: how do you reduce -4+sq.root of 40/-2
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Question 120455This question is from textbook
: how do you reduce -4+sq.root of 40/-2
This question is from textbook
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 40
Factors:
1, 2, 4, 5, 8, 10, 20, 40
Notice how 4 is the largest perfect square, so lets break 40 down into 4*10
Factor 40 into 4*10
Break up the square roots using the identity
Take the square root of the perfect square 4 to get 2
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
Multiply
So the expression
simplifies to
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