# The value of root(3)(125) is?

Jun 27, 2018

$\sqrt[3]{125} = 5$

Jun 27, 2018

$5$

#### Explanation:

$\sqrt[3]{125}$

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

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

Jun 27, 2018

$5$

#### Explanation:

$\sqrt[3]{125} = 5$

$\text{since } 5 \times 5 \times 5 = 125$

Jun 27, 2018

If you really can not spot what the roots are do this:

$\sqrt[3]{125} = + 5$

#### Explanation:

Do a very quick and very rough sketch on the margin of your page of a prime number factor tree. In this case you are looking for groupings of 3 values that are the same>

The group of three highlighted values tell you the cube root of 125 is 3.