O P Malhotra, S K Gupta and, Anubhuti Gangal Solutions for Chapter: Square Root and Cube Root, Exercise 4: Revision Exercise

Find the cube root of $\frac{216}{2197}$.

Find the cube root of  $0.001728$ in the decimal form.

Find the square root of $12544$.

Simplify: $\left[\sqrt{\frac{225}{729}}-\sqrt{\frac{25}{144}}\right]÷\sqrt{\frac{16}{81}}$

Find the value of $\sqrt[3]{4\frac{12}{125}}$ as an improper fraction.

Find $x$, if $\sqrt{1+\frac{x}{169}}=\frac{14}{13}$

Find the smallest number by which $1323$ must be multiplied so that the product is a perfect cube.

Find the smallest number by which $3675$ must be divided to get a perfect square number. Also, find the square root of the perfect square number.