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Perform the indicated operations
Solution:
Consider the given equation above
If you will cube a radical in which the index is 2 or that have a square root sign, then the terms inside the square root sign will be raised to a third power.
If you will multiply a radical with another radical with the same index, then the terms inside the radicals will be multiplied together. In this case, the given above equation can be written as follows
Although the above equation consists of numbers only, then we need to apply the principles of Binomial Theorem or cubing of a binomial because the radicals are treated as variables.
At the first term, 33 or 27 is not a perfect square. The factors of 27 are 9 and 3. 9 is a perfect square.
At the second term, 32 or 9 is a perfect square. The square root of 9 is 3.
Hence, the given equation above becomes
Therefore, the final answer is
