Question

Find the cube root of the rational number of 4913 /3375

Answer 1

$\sqrt[3]{\dfrac{4913}{3375}} = \sqrt[3]{\dfrac{17 \times 17 \times 17}{15 \times 15 \times 15}} = \sqrt[3]{\dfrac{17^3}{15^3}} = \dfrac{17}{15}$

$\boxed { \text {Answer : } \dfrac{17}{15} }$

Answer 2

The cube root of the given rational number is $\frac{17}{15}$.

Given,

Rational number = $\frac{4913}{3375}$.

To Find,

The cube root of the rational number.

Solution,

Before solving the question, we must understand the concept of rational numbers and cube roots.

Rational Numbers: A rational number is a number given in the form of the ratio of two integers, where the denominator should not be equal to zero.

Cube root: Cube root is anything that satisfies the equation given below,

b³ = a or a =∛b.

The cube root of a number can be found by a very simple method which is known as the prime factorization method.

cube root of $\frac{4913}{3375}$

= $\sqrt[3]{\frac{4913}{3375} }$

=$\sqrt[3]{\frac{17*17*17}{15*15*15} }$

= $\frac{17}{15}$.

The cube root of the given rational number is $\frac{17}{15}$.

#SPJ2