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Maths-

General

Easy

Question

Compare the given radical expressions. √72 & 2√50

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 < 2√50

Step-by-step solution:-
1st expression = √72 ............................................................. (Equation i)
2nd expression = 2√50
∴ 2nd expression = √2 × √2 × √50 ......................................... (Factorizing the term 2)
∴ 2nd expression = √(2 × 2 × 50) …............................................... [Product property- √m × √n = √(mn)]
∴ 2nd expression = √200 ........................................................ (Equation ii)
Comparing Equations i & ii, we get-
√72 < √200
Hence, √72 < 2√50
Final Answer:-
∴ Comparing the given radicals expressions, we get- √72 < 2√50.

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