College Algebra : Radicals
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Example Questions
Example Question #51 : Review And Other Topics
Simplify the following:
To simplify radicals, you must have common numbers on the inside of the square root. Don't be fooled. There is no way to simplify any of these, so your answer is simply:
Example Question #52 : Review And Other Topics
Simplify the following expression:
it cannot be simplified further
Observe that 250 and 150 factor into 
Example Question #11 : Radicals
Which of the following is equal to 
Factor the radical by values of perfect squares.
Replace the term.
The answer is:
Example Question #11 : Radicals
Solve the radical:
Square both sides to eliminate the radical.
Solve for x. Subtract two on both sides.
The answer is:
Example Question #15 : Radicals
What is the value of 
Multiply all numbers to combine the radicals.
Factor this value using numbers of perfect squares.
The answer is:
Example Question #11 : Radicals
Multiply the following radicals:
In order to multiply radicals, first rewrite the problem as follows:
This follows a basic property of radical multiplication.
Next simply inside the radical:
Since 100 is a perfect square the final answer to the problem is 10.
Example Question #11 : Radicals
Multiply the following radicals:
In order to multiply radicals, first rewrite the problem as follows:
This follows a basic property of radical multiplication.
Next simply inside the radical:
Although 20 is not a perfect square, one of its factors is. We can break the radical up and simplify as follows:
This gives us a final answer of
Example Question #18 : Radicals
Multiply the radicals:
In order to multiply radicals, first rewrite the problem as follows:
This follows a basic property of radical multiplication.
Next simply inside the radical:
Although 45 is not a perfect square, one of its factors is. We can break the radical up and simplify as follows:
This gives us a final answer of
Example Question #11 : Radicals
Multiply the radicals:
In order to multiply radicals, first rewrite the problem as follows:
This follows a basic property of radical multiplication.
Next simply inside the radical:
Although 12 is not a perfect square, one of its factors is. We can break the radical up and simplify as follows:
This gives us a final answer of
Example Question #62 : Review And Other Topics
Multiply the radicals:
In order to multiply radicals, first rewrite the problem as follows:
This follows a basic property of radical multiplication.
Next simply inside the radical:
Since 36 is a perfect square the final answer to the problem is 6.
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