Maths-
General
Easy
Question
Compare the given radical expressions. 5√28 & √119
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- 5√28 > √119.
Step-by-step solution:-
1st expression = 5√28
∴ 1st expression = √5 × √5 × √28 ......................................... (Factorizing the term 5)
∴ 1st expression = √(5 × 5 ×28) …............................................... [Product property- √m ×√n = √(mn)]
∴ 1st expression = √700 ........................................................ (Equation i)
2nd expression = √119 ........................................................ (Equation ii)
Comparing Equations i & ii, we get-
√700 > √119
Hence, 5√28 > √119
Final Answer:-
∴ Comparing the given radicals expressions, we get- 5√28 > √119.
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