Examine whether the following numbers are rational or irrational.… - Vidyadip

Question

Examine whether the following numbers are rational or irrational.
$\sqrt{8}\times\sqrt{2}$

✓

Answer

As $\sqrt{8}\times\sqrt{2}$
$=\sqrt{8\times2}$
$=\sqrt{16}$
$=4,$ which is an integer
Hence, $\sqrt{8}\times\sqrt{2}$ is rational.

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 "2 Marks Questions" from Presentation of Data in Tabular Form→Presentation of Data in Tabular Form — all question types→Maths STD 9 question papers→Gujarat Board STD 9 question papers→Gujarat Board question paper generator→

Similar questions

Find a rational number between $\frac{1}{9}$ and $\frac{2}{9}$

The mean of six numbers is 23. If one of the numbers is excluded, the mean of the remaining numbers is 20. Find the excluded number.

Is the product of two irrationals always irrational? Justify your answer.

If x = -1, y = 2 is a solution of the equation 3x + 4y = k, find the value of k.

Rationalise the denominator of $\frac{5}{\sqrt{3}-\sqrt{5}}$

Factorize the following expressions:
(a - 2b)³ - 512b³

Verify that:
2 and -3 are the zeros of the polynomial q(x) = x² + x - 6.

Simplify the following expression:

$(11+\sqrt{11})(11-\sqrt{11})$

Multiply:
$12\sqrt{15}$ by $4\sqrt{3}$

Find the area of the triangle whose base measures 24cm and the corresponding height measures 14.5cm.