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Maths-

General

Easy

Question

Compare the given radical expressions. √72 and 6√2

hint 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- √72 = 6√2.

Step-by-step solution:-
1st expression = √72 ............................................................. (Equation i)
2nd expression = 6√2
∴ 2nd expression = √6 × √6 × √2 ......................................... (Factorizing the term 6)
∴ 2nd expression = √(6 × 6 × 2) …............................................... [Product property- √m × √n = √(mn)]
∴ 2nd expression = √72 ........................................................ (Equation ii)
Comparing Equations i & ii, we get-
√72 = √72
Hence, √72 = 6√2
Final Answer:-
∴ Comparing the given radicals expressions, we get- √72 = 6√2.

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