Download App

Cubes and Cube Roots — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSCubes and Cube Roots3 Marks
Question
What is the value of $\sqrt[3]{64}-\frac{1}{\sqrt[3]{64}}?$
✓

Answer

$\begin{array}{l}\sqrt[3]{64}-\frac{1}{\sqrt[3]{64}} \\ \because \text { Cube root of } 64=\sqrt[3]{64}=\overline{4 \times 4 \times 4}=4 \\ \therefore 4-\frac{1}{4}=\frac{15}{4}~ \text { or }~ 3 \frac{3}{4}\end{array}$

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 "3 Marks Question" from Cubes and Cube Roots→Cubes and Cube Roots — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

Find the square root of the following by prime factorization.$11664$
→
Solve the equation and check your result: $2y + \frac{5}{3} = \frac{{26}}{3} - y$
→
Find the squares of the following numbers using diagonal method: $98$
→
By what number should $(-6)^{-1}$ be multiplied so that the product becomes $9^{-1}$ ?
→
Find the area of a trapezium whose parallel sides are $24\ cm$ and $20\ cm$ and the distance between them is $15\ cm$.
→
Evaluate $\sqrt{2.8}$ correct up to two places of decimal.
→
The following data gives the number of children in $40$ families:
$1, 2, 6, 5, 1, 5, 1, 3, 2, 6, 2, 3, 4, 2, 0, 4, 4, 3, 2, 2, 0, 0, 1, 2, 2, 4, 3, 2, 1, 0, 5, 1, 2, 4, 3, 4, 1, 6, 2, 2$.
Represent it in the form of a frequency distribution.
→
Find following product:
$ 5 x^2 \times 4 x^3 $
→
The trunk of a tree is cylindrical and its circumference is $176\ cm.$ If the length of the trunk is $3\ m,$ find the volume of the timber that can be obtained from the trunk.
→
A cube $A$ has side thrice as long as that of cube $B?$ What is the ratio of the volume of cube $A$ to that of cube $B?$
→