Maths-
General
Easy
Question
Factor the given radicand using the product property of square roots. √x7
Hint:
A radical expression refers to an expression containing a radical (√) symbol, commonly called as a root symbol.
A radicand refers to the number that is preceded by a radical sign.
The correct answer is: The given radicand can be factorised using product property as- x3√x
Step-by-step solution:-
Given expression = √x7
∴ Given expression = √(x3+3+1)
∴ Given expression = √(x3 × x3 × x1) ................................................... (an ⋅ am = an+m)
∴ Given expression = √(x3 × x3) × √x …........................ [Product property of radicals i.e. √m × √n = √(mn)]
∴ Given expression = √(x3)2 × √x
∴ Given expression = (x3)2/2 × √x .................................... [Power rule- m√(bn) = b n/m]
∴ Given expression = (x3)1 × √x
∴ Given expression = x3 × √x
∴ Given expression = x3√x
Final Answer:-
∴ The given radicand can be factorised using product property as- x3√x
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