SOLUTION: Can this equation be simplified any further if so can I see step by step how it is done. t = -64+ the radical of 4288 divided by -32

Question 140637: Can this equation be simplified any further if so can I see step by step how it is done. t = -64+ the radical of 4288 divided by -32
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 4288
Factors:
1, 2, 4, 8, 16, 32, 64, 67, 134, 268, 536, 1072, 2144, 4288

Notice how 64 is the largest perfect square, so lets break 4288 down into 64*67

Factor 4288 into 64*67

Break up the square roots using the identity

Take the square root of the perfect square 64 to get 8

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

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