Gujarat BoardEnglish MediumSTD 9MathsNumber systems1 Mark
MCQ
The simplest rationalising factor of $\sqrt3+\sqrt5,$ is:
A
$\sqrt3-5$
B
$3-\sqrt5$
C
$\sqrt{3}-\sqrt5$
D
$\sqrt{3}+\sqrt5$
✓
Answer
$\sqrt{3}-\sqrt5$ Solution: Rationalising factor of any number of kind $\sqrt{\text{a}}\pm\sqrt{\text{b}}$ is $\sqrt{\text{a}}\mp\sqrt{\text{b}}$ So. for given number $\sqrt3+\sqrt5.$ Rationalising factor would be $\sqrt3-\sqrt5.$ Hence, correct option is (c).
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