Question

compare the following pairs of surds. 7√2,5√3

Answer 1

In order to compare the two swords 7 root 2 and 5 root 3 .we have to square these two surds.By squaring we get 98 and 75 respectively.98 is Greater .so 7 root 2 is Greater than 5 root 3 .

Answer 2

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,  

$98 > 75$

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

$\implies 7\sqrt{2} > 5\sqrt{3}$,

⇒ 7√2 is grater than 5√3.