Question

Simplify (sqrt)98m^12Using factor tree. Please draw. Quick answer = amazing review. Not a graded or timed assessment. Please use factor tree or split up using perfect squares

Answer 1

The simplified expression is 7m⁶ √2

STEP - BY - STEP EXPLANATION

What to find?

Simplify the given expression.

Given:

`\sqrt[]{98m^(12)}`

To simplify the above, we will follow the steps below:

Step 1

Apply radical rule:

`\sqrt[]{ab}=\sqrt[]{a}\text{ . }\sqrt[]{b}`

That is;

`\sqrt[]{98m^(12)}=\sqrt[]{98}*\sqrt[]{m^(12)}`

Step 2

Simplify each value under the square root.

`\sqrt[]{98}=\sqrt[]{49*2}=\sqrt[]{49}*\sqrt[]{2}=7\sqrt[]{2}`
`\sqrt[]{m^(12)}=(m^(12))^{(1)/(2)}=m^{(12)/(2)}=m^6`

Therefore, the simplified expression is:

`\sqrt[]{98m^(12)}=7m^6\text{ }\sqrt[]{2}`