Question

Identify like surds form the following

• A. $7\sqrt{5}$
• B. $2\sqrt{125}$
• C. $5^{\frac{5}{2}}$
• D. All of the above

Answer 1

Answer: (D)

All of the above

Option A:

$7\sqrt{5}=7\sqrt{5}$

Option B :

$2\sqrt{125}=2\sqrt{5\times 5\times 5}$

$=2\times 5\sqrt{5}$$=10\sqrt{5}$

Option C:

$5^{\frac{5}{2}}=\sqrt{5\cdot 5\cdot 5\cdot 5\cdot 5}$ =$25\sqrt{5}$

So, option D is correct.