Compare the pair of radical expressions. 6√3 & √108

The correct answer is: Comparing the given radicals expressions, we get- 6√3 = √108

Hint:-
A radical expression refers to an expression containing a radical (√) symbol, commonly called as a root symbol.
We will simplify the given expressions and compare the same with each other.
Step-by-step solution:-
1st expression = 6√3
∴ 1st expression = √6 × √6 × √3 ......................................... (Factorizing the term 6)
∴ 1st expression = √(6 × 6 × 3) …............................................... [Product property- √m * √n = √(mn)]
∴ 1st expression = √108 ........................................................ (Equation i)
2nd expression = √108 ........................................................ (Equation ii)
Comparing Equations i & ii, we get-
√108 = √108
Hence, 6√3 = √108
Final Answer:-
∴ Comparing the given radicals expressions, we get- 6√3 = √108.