Question

Which one out of $7\sqrt{2}$ and $5\sqrt{3}$ is greater ?

• A. $7\sqrt{2}$
• B. $5\sqrt{3}$
• C. Both are equal
• D. Data insufficient

Answer 1

The correct option is A $7\sqrt{2}$

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,
$98>75\Rightarrow (7\sqrt{2}{)}^2>(5\sqrt{3}{)}^2\Rightarrow 7\sqrt{2}>5\sqrt{3}$