Mathematics
Grade10
Easy
Question
Which is equivalent to ![x to the power of 4 square root of 30 x end root](data:image/png;base64,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)
Hint:
A radical expression is defined as any expression containing a radical (√) symbol.
The correct answer is: ![square root of 30 x to the power of 9 end root](data:image/png;base64,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)
We have to find the equivalent expression to xˆ4√30x.
We have, x4√30x = √(30x8 × x) = √30x9
Hence, the correct option is A.
Simplifying radical expressions expression is important before addition or subtraction of expressions to identify like terms that can be added or subtracted, and hence reach the solution.