Download App

Rational and Irrational Numbers — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSRational and Irrational Numbers2 Marks
Question
Write in ascending order : $2 \sqrt[3]{5}$ and $3 \sqrt[3]{2}$
✓

Answer

$ 2 \sqrt[3]{5}=\sqrt[3]{2^3 \times 5}=\sqrt[3]{40}$
$ 3 \sqrt[3]{2}=\sqrt[3]{3^3 \times 2}=\sqrt[3]{54}$
and $40<54$
$\Rightarrow \sqrt[3]{40}<\sqrt[3]{54}$
$ \Rightarrow 2 \sqrt[3]{5}<3 \sqrt[3]{2}$

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 Mark Question Answer]" from Rational and Irrational Numbers→Rational and Irrational Numbers — all question types→MATHEMATICS STD 9 question papers→ICSE Board STD 9 question papers→ICSE Board question paper generator→

Similar questions

Find the number of sides in a regular polygon, when each exterior angle is $: 60^\circ$
→
Express each of the following in terms of trigonometric ratios of angles between $0^\circ $ and $45^\circ : \cos72^\circ - \cos88^\circ $
→
Convert the following to exponential form :
$\log _a 1=0$
→
Verify the following : $\cos 60 \cos 30-\sin 60 \sin 30=0$.
→
Factorise:
$x^2-49$
→
Factorise : $4(x+y)-6(x+y)^2$
→
Find the value of m $,$ if $x = 2, y = 1$ is a solution of the equation $2x + 3y = m.$
→
Find the median of the following sets of numbers$.15, 8, 14, 20, 13, 12, 16$
→
Simplify$: \log a^2 + \log a^{-1}$
→
Expand the following$:(a + 4) (a + 7)$
→