Question

compare the surds 7√², 5√³
​

Answer 1

Answer:

7√2 is grater than 5√3.

Step-by-step explanation:

Here, the given numbers,

7√2 and 5√3,

For comparing the given surds,

Since, the square of 7√2 = (7√2)² = 98

And, the square of 5√3 = (5√3)² = 75

Since,

98 > 7598>75

\implies (7\sqrt{2})^2 > (5\sqrt{3})^2⟹(7

2

)

2

>(5

3

)

2

\implies 7\sqrt{2} > 5\sqrt{3}⟹7

2

>5

3

,

⇒ 7√2 is grater than 5√3.

Explanation:

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