Question : Which is the largest among the numbers $\sqrt{5},\ 3\sqrt{7}$, and $4\sqrt{13}$.
Option 1: $\sqrt{5}$
Option 2: $3\sqrt{7}$
Option 3: $4\sqrt{13}$
Option 4: $\text {All are equal}$
Answer (1)
23rd Jan, 2024
Correct Answer: $4\sqrt{13}$
Solution :
To find: The largest among the numbers $\sqrt{5},\ 3\sqrt{7}$, and $4\sqrt{13}$.
Here, $\sqrt{5}=\sqrt{5}$
$3\sqrt{7}=\sqrt{3×3×7}=\sqrt{63}$
$4\sqrt{13}=\sqrt{4×4×13}=\sqrt{208}$
Hence, the correct number is $4\sqrt{13}$.
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