The pair .......... is a like surds.

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Question

(B) Two surds are called 'like surds' if they have the same radicand after simplification.$A) \sqrt{8} = 2\sqrt{2}$ and $\sqrt{16} = 4$. These are not

Vedclass · Accepted Answer

$\sqrt{18}$ and $\sqrt{50}$

Vedclass · Answer

(B) Two surds are called 'like surds' if they have the same radicand after simplification.$A) \sqrt{8} = 2\sqrt{2}$ and $\sqrt{16} = 4$. These are not like surds.$B) \sqrt{18} = \sqrt{9 	imes 2} = 3\sqrt{2}$ and $\sqrt{50} = \sqrt{25 	imes 2} = 5\sqrt{2}$. Both have the same surd part $\sqrt{2}$,so they are like surds.$C) \sqrt{72} = 6\sqrt{2}$ and $\sqrt{6}$. These are not like surds.$D) \sqrt{24} = 2\sqrt{6}$ and $\sqrt{48} = 4\sqrt{3}$. These are not like surds.Therefore,the correct pair is $\sqrt{18}$ and $\sqrt{50}$.

Part $I$	Part $II$
$1. \text{l.c.m.}(8, 16, 24)$	$a. 36$
$2. \text{g.c.d.}(8, 16, 24)$	$b. 48$
$3. \text{l.c.m.}(6, 12, 18)$	$c. 8$
$4. \text{g.c.d.}(6, 12, 18)$	$d. 12$
	$e. 6$

Similar Questions

Which of the following groups correctly matches the data of Part $I$ with the data of Part $II$?

Part $I$ Part $II$

$1. \text{l.c.m.}(8, 16, 24)$ $a. 36$

$2. \text{g.c.d.}(8, 16, 24)$ $b. 48$

$3. \text{l.c.m.}(6, 12, 18)$ $c. 8$

$4. \text{g.c.d.}(6, 12, 18)$ $d. 12$

$e. 6$

The decimal expansion of the rational number $\frac{33}{2^{2} \cdot 5}$ will terminate after

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The $\text{g.c.d.}$ of two numbers is $18$ and their product is $6480$. Their $\text{l.c.m.}$ is ..........

Prove that: $\frac{2+\sqrt{3}}{\sqrt{2}+\sqrt{2-\sqrt{3}}}+\frac{2-\sqrt{3}}{\sqrt{2}-\sqrt{2+\sqrt{3}}}=\sqrt{2}$

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