Maths-
General
Easy
Question
Write an expression for each product without perfect square factors in the radicand. 4√3x3 × 3√2x2
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 expressions can be written using without a perfect square in the radicand as- 12x2√6x
Step-by-step solution:-
Given expression = 4√3x3 × 3√2x2
∴ Given expression = 4 × 3 × √(3x3 × 2x2) ..................................................................... (Product property)
∴ Given expression = 12 ×√(6 × x3+2) …........................................................................... (am × an = am+n)
∴ Given expression = 12 ×√(6x5)
∴ Given expression = 12 × √(6 × x2+2+1)
∴ Given expression = 12 × √(6 × x2 × x2 × x) ................................................................... (am × an = am+n)
∴ Given expression = 12 × √6 × √(x2 × x2) × √x …............................................................ [Product property of radicals i.e. √m × √n = √(mn)]
∴ Given expression = 12 ×√6 × √(x2)2 × √x
∴ Given expression = 12 ×√6 × (x2)2/2 × √x .................................... [Power rule- m√(bn) = b n/m]
∴ Given expression = 12 ×√6 × (x2)1 × √x
∴ Given expression = 12 √6 × x2 × √x
∴ Given expression = 12x2 × √6x
Final Answer:-
∴ The given expressions can be written using without a perfect square in the radicand as- 12x2√6x.
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A. The cost of 4 tetras is the same as the cost of a rainbow fish.
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