Mathematics
Grade10
Easy
Question
What is an equivalent expression for ![square root of 125 x to the power of 5 end root](data:image/png;base64,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)
Hint:
A radical expression is simply a mathematical expression which includes a radical sign (√).
The correct answer is: ![5 x squared square root of 5 x end root](data:image/png;base64,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)
We have to find the equivalent expression for √(125xˆ5).
We have, √(125xˆ5) = √( 5×5×5×x²×x²×x) = 5x²√5x.
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.