Question

This is class 9 ssc question
(4) Simplify the following surds.
(i) √27
(ii) √50
(iii) √250
(iv) √112
(v) √168​

Answer 1

$i) Given \: \sqrt{27}$

$= \sqrt{ 3\times 3 \times 3 }$

$= 3 \sqrt{3}$

Therefore.,

$\red{ \sqrt{27} } \green { = 3 \sqrt{3}}$

$ii) Given\: \sqrt{50}$

$= \sqrt{ 2 \times 5 \times 5 }$

$= 5\sqrt{2}$

Therefore.,

$\red{ \sqrt{50} } \green { = 5 \sqrt{2}}$

$iii) Given \: \sqrt{250}$

$= \sqrt{ 2 \times 5\times 5 \times 5 }$

$= 5\sqrt{10}$

Therefore.,

$\red{ \sqrt{250} } \green { = 5 \sqrt{10}}$

•••♪