Download App

Number Systems — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsNumber Systems1 Mark
MCQ
Write the correct answer in the following: The number obtained on rationalising the denominator of $\frac{1}{\sqrt{7}-2}$ is
  • ✓
    $\frac{\sqrt{7}+2}{3}$
  • B
    $\frac{\sqrt{7}-2}{3}$
  • C
    $\frac{\sqrt{7}+2}{5}$
  • D
    $\frac{\sqrt{7}+2}{45}$
✓

Answer

Correct option: A.
$\frac{\sqrt{7}+2}{3}$
$\frac{1}{\sqrt{7}-2}=\frac{1}{\sqrt{7}-2}\times\frac{\sqrt{7}+2}{\sqrt{7}+2}$
$\frac{\sqrt{7}+2}{7-4}=\frac{\sqrt{7}+2}{3}$
Hence, $(a)$ is the correct answer.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q" from Number Systems→Number Systems — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

The length of the longest rod that can fit in a cubical vessel of side $10\ cm,$ is:
→
Which of the following is a linear polynomial?
→
If the perpendicular distance of a point $P$ from the $x-$axis is $5$ units and the foot of the perpendicular lies on the negative direction of $x-$axis, then the point $P$ has.
→
The edges of a triangular board are 6 cm, 8 cm and 10 cm long. The cost of painting it at the rate of 9 paise per $cm ^2$ is
→
If $x - 2$ is a factor of $x^2 + 3ax - 2a$, then $a =$
→
Which of the following points lie on the line $y = 3x – 4?$
→
The value of $\frac{\sqrt{48}+\sqrt{32}}{\sqrt{27}+\sqrt{18}},$ is:
→
If $(16)^{2 x+3}=(64)^{x+3}$, then $4^{2 x-2}=$
→
Which of the following is (are) not equal to $\Bigg\{\Big(\frac{5}{6}\Big)^{\frac{1}{5}}\Bigg\}^{-\frac{1}{6}}?$
→
If $9^{x+2}=240+9^x$,then x =
→