Question

using prime factorization method find 6859 is a perfect cube or not

Answer 1

$\huge\color{red}{Hello}$$\huge\color{red}{friends,}$

$\huge\color{orange}\boxed{ANSWER}$

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$<b><i><u>Cube$ Roots using prime factorisation :-

Q :- Is 6859 a perfect cube ?

Ans :- Yes .

Q :- What is cube root of 6859 ?

Ans :- Refer to attachment


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$\huge\color{blue}{BeBrainly}$

Answer 2

$\bold {\huge {Solutions :-}}$

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$\bold {\underline {By~ prime ~factorization. ~We~ have, }}$

6859 = 19 × 19 × 19
= 19³

$\bold {\underline {So, }}$
$\sqrt[3]{6859} = \sqrt[3]{ {19}^{3} } \\ \\ = {19}^{3 \times \frac{1}{3} } \\ \\ = 19$

$\bold {\underline {Hence,}}$
$\bold {6859}$ is a perfect cube and its cube root is $\bold {19}$