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

Question

Examine whether the following numbers are rational or irrational. $\sqrt[3]{5}\times\sqrt[3]{25}$

✓

Answer

$\sqrt[3]{5}\times\sqrt[3]{25}$ $=\sqrt[3]{5\times25}$ $=\sqrt[3]{125}$ $=5,$ which is an integer Hence, $\sqrt[3]{5}\times\sqrt[3]{25}$ 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

Which of the following points lie on y-axis? $A(1, 1), B(1, 0), C(0, 1), D(0, 0), E(0, -1), F(-1, 0), S(0, 5), H(7, 0), I(3, 3).$

Write four solutions of the equation: $x = 4y.$

Write the complement of an angle of measure $x^\circ .$

In a diagnostic test in mathematics given to students, the following marks $($out of $100)$ are recorded: $46, 52, 48, 11, 41, 62, 54, 53, 96, 40, 98, 44$ Which $'$average$’$ will be a good representative of the above data and why?

Classify the number $0.3796$ as rational or irrational.

Simplify: $\Big(\frac{81}{49}\Big)^{-\frac{3}{2}}$

Evaluate:
$(107)^2$

Factorise:
$108 a^2-3(b-c)^2$

Write the value of $\sqrt[3]{7}\times\sqrt[3]{49}.$

Determine the mode of the following values of a variabel. $23, 15, 25, 40, 27, 25, 22, 25, 20$