Question

Classify the following into like surds:
$\sqrt{243},\sqrt{128},\sqrt{75},\sqrt{72},\sqrt{54},\sqrt{24}$

Answer 1

Simplifying following surds, we get:

$\sqrt{243}=9\sqrt{3}$

$\sqrt{128}=8\sqrt{2}$

$\sqrt{75}=5\sqrt{3}$

$\sqrt{72}=6\sqrt{2}$

$\sqrt{54}=3\sqrt{6}$

$\sqrt{24}=2\sqrt{6}$

For like surds, radicand should be same.

$\therefore \sqrt{243},\sqrt{75}$ and

$\sqrt{128},\sqrt{72}$and

$\sqrt{54},\sqrt{24}$are like surds.