College Algebra : Review and Other Topics
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Example Questions
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.
Example Question #63 : Review And Other Topics
Multiply the radicals:
This set of radicals can be considered a special case.
Because 4 is a perfect square and 6 cannot be simplified any further, solve by taking the square root of 4:
This means the final answer is
Example Question #64 : Review And Other Topics
Add the radicals:
In order to add or subtract, first simplify each radical completely. If the remaining number under the square root sign is the same for both numbers they can be added- much like with variables.
For this problem, it goes as follows:
Both radicals are completely simplified, but their bases are not the same. This means we get a final answer of
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