sqrt{12} and ........ are like surds. | vedclass

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(C) Two surds are called like surds if their radicands are the same after simplifying them to their simplest form.First,simplify $\sqrt{12}$:$\sqrt{12

Vedclass · Accepted Answer

$\sqrt{48}$

Vedclass · Answer

(C) Two surds are called like surds if their radicands are the same after simplifying them to their simplest form.First,simplify $\sqrt{12}$:$\sqrt{12} = \sqrt{4 	imes 3} = 2\sqrt{3}$.Now,check the options:$A) \sqrt{24} = \sqrt{4 	imes 6} = 2\sqrt{6}$$B) \sqrt{36} = 6$ (This is a rational number,not a surd)$C) \sqrt{48} = \sqrt{16 	imes 3} = 4\sqrt{3}$$D) \sqrt{60} = \sqrt{4 	imes 15} = 2\sqrt{15}$Since $\sqrt{12} = 2\sqrt{3}$ and $\sqrt{48} = 4\sqrt{3}$,they share the same irrational factor $\sqrt{3}$.Therefore,$\sqrt{12}$ and $\sqrt{48}$ are like surds.

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

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