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Real Numbers — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsReal Numbers1 Mark
MCQ
The smallest number by which $\sqrt{27}$ should be divided so as to get a rational number.
  • A
    $\sqrt{27}\
  • ✓
    $\sqrt{3}$
  • C
    $3 \sqrt{3}$
  • D
    3
✓

Answer

Correct option: B.
$\sqrt{3}$
(b)
$\because \sqrt{27}=\sqrt{3 \times 3 \times 3}$
$=3 \sqrt{3}$
On divide by $\sqrt{3}$
$\frac{3 \sqrt{3}}{\sqrt{3}}=3$ (rational number)
So, $\sqrt{27}$ is divided by $\sqrt{3}$ to get a rational number.

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