what will be answer if you compare 7√2 5√2
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Answer:
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
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