Question

Find the value of the variable that makes the statement true:

Answer 1

M=15 because 15x15=225x15=3375

Answer 2

Answer:

m=15

Step-by-step explanation:

cube root of 3375 =m

We need to solve the equation for m

$\sqrt[3]{3375} = m$

In order to solve for m we need to find the cube root of 3375

3375 can be written as 3 times 3 times 3 times 5 times 5 times 5

$\sqrt[3]{3375} = m$

$\sqrt[3]{3 \cdot 3 \cdot 3 \cdot 5 \cdot 5 \cdot 5} = m$

For same three factors inside the cube root we pull out one factor outside the cube root

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

$\sqrt[3]{3 \cdot 3 \cdot 3 \cdot 5 \cdot 5 \cdot 5} = m$

$3 \cdot 5 = m$

m= 15