Question

$\sqrt{12}$ and ___ are like surds.

• A. $\sqrt{24}$
• B. $\sqrt{36}$
• C. $\sqrt{48}$
• D. $\sqrt{60}$

Answer 1

Answer: (A), (C), (D)

The correct options are
A $\sqrt{24}$
C $\sqrt{48}$
D $\sqrt{60}$

$\Rightarrow$ When we can't simplify a number to remove a square root (or cube root etc) then it is a surd.

$\Rightarrow$ Here, in question we can see, $\sqrt{12}$ is not a perfect square. So, $\sqrt{12}$ is irrational number.

$\Rightarrow$ In options, $\sqrt{36}$ is a perfect square and it is rational number.

$\Rightarrow$ $\sqrt{24},\sqrt{48},\sqrt{60}$ are not perfect square and irrational number.

$\therefore$ $\sqrt{12}$ and $\sqrt{24},\sqrt{48},\sqrt{60}$ are like surds.