Maths-
General
Easy
Question
Compare the given radical expressions. √36 and 3√6
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.
The correct answer is: ∴ Comparing the given radicals expressions, we get- √36 < 3√6.
Step-by-step solution:-
1st expression = √36 ............................................................. (Equation i)
2nd expression = 3√6
∴ 2nd expression = √3 × √3 × √6 ......................................... (Factorizing the term 3)
∴ 2nd expression = √(3 × 3× 6) …............................................... [Product property- √m × √n = √(m n)]
∴ 2nd expression = √54 ........................................................ (Equation ii)
Comparing Equations i & ii, we get-
√36 < √54
Hence, √36 < 3√6
Final Answer:-
Final Answer:-
∴ Comparing the given radicals expressions, we get- √36 < 3√6.
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