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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

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 $\sqrt{50}$.

Similar Questions

Write whether the square of any positive integer can be of the form $3m + 2$,where $m$ is a natural number. Justify your answer.

"The product of two consecutive positive integers is divisible by $2$." Is this statement true or false? Give reasons.

The values of the remainder $r$,when a positive integer $a$ is divided by $3$ are $0$ and $1$ only. Justify your answer.

$\sqrt{5+2 \sqrt{6}} = \dots$

Simplify: $\frac{1}{\sqrt{12-\sqrt{140}}}-\frac{1}{\sqrt{8-\sqrt{60}}}-\frac{2}{\sqrt{10+\sqrt{84}}}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module