Question

cube root of 7200 by prime factorisation​

Answer 1

Answer:

$2 \: \sqrt[3]{900} \: is \: the \: answer$

Step-by-step explanation:

$cube \: root \: of \: 7200$

$= > \sqrt[3]{7200}$

$= > \sqrt[3]{2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5}$

$= > \sqrt[3]{(2 \times 2 \times 2) \times 2 \times 2 \times 3 \times 3 \times 5 \times 5}$

$= > 2 \sqrt[3]{2 \times 2 \times 3 \times 3 \times 5 \times 5}$

$= > 2 \sqrt[3]{4 \times 9 \times 25}$

$= > 2 \: \sqrt[3]{900}$

Answer 2

Step-by-step explanation:

Simplified Cube Root for ∛7200 is 2∛900

Step by step simplification process to get cube roots radical form and derivative:

First we will find all factors under the cube root: 7200 has the cube factor of 8.

Let's check this with ∛8*900=∛7200. As you can see the radicals are not in their simplest form.

Now extract and take out the cube root ∛8 * ∛900. Cube of ∛8=2 which results into 2∛900

All radicals are now simplified. The radicand no longer has any cube factors.