Find the cube root of 0.000729. | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) To find the cube root of $0.000729$,we can express the number in scientific notation:$0.000729 = 729 	imes 10^{-6}$Now,take the cube root of this

Vedclass · Accepted Answer

$0.09$

Vedclass · Answer

(B) To find the cube root of $0.000729$,we can express the number in scientific notation:$0.000729 = 729 	imes 10^{-6}$Now,take the cube root of this expression:$\sqrt[3]{0.000729} = \sqrt[3]{729 	imes 10^{-6}}$We know that $729 = 9^3$,so $\sqrt[3]{729} = 9$.Also,$\sqrt[3]{10^{-6}} = (10^{-6})^{1/3} = 10^{-2}$.Therefore,$\sqrt[3]{0.000729} = 9 	imes 10^{-2} = 0.09$.

Find the cube root of $0.000729$.

Similar Questions

The least perfect cube which is completely divisible by $21, 24$ and $27$ is

$(4 \times 4)^{3} \div (512 \div 8)^{4} \times (32 \times 8)^{4} = (2 \times 2)^{?} + ?^{4}$

Find the cube root of $\frac{512}{3375}$.

The smallest five-digit number which is a perfect cube is

$\sqrt{\sqrt[3]{\sqrt[3]{\sqrt[3]{\sqrt[3]{\sqrt[3]{3}}}}}} = ?$

Vedclass Test Series

Exam Paper Generator

Online Exam Module