Question

If cube root of 1906624×x=3100,find x

Answer 1

Answer:

22 is answer of cube root of 19006624xx

Answer 2

The value of x is 15625

Explanation:

The expression is $\sqrt[3]{1906624 x}=3100$

Taking both sides of the equation to the power of 3, we get,

$1906624 x=3100^{3}$

Dividing both sides by 1906624, we get,

$x=\frac{3100^{3}}{1906624}$

Taking factor of $3100^{3}$ , we have,

$3100^{3}=\quad 2^{6} \cdot 5^{6} \cdot 31^{3}$

Also, taking factor of $1906624$, we have,

$1906624=\quad 2^{6}\cdot31^{3}$

Substituting these factors and cancelling the common terms, we get,

$x=\frac{2^{6} \cdot 5^{6} \cdot 31^{3}}{2^{6} \cdot 31^{3}}= 5^{6}$

Thus, $x=5^{6}=15625$

Thus, the value of x is 15625

Learn more:

1. brainly.in/question/12267797

2. brainly.in/question/10056943