Question

LaTeX: \sqrt[]{36} 36 2) LaTeX: \sqrt[3]{-8} − 8 3 3) LaTeX: -\sqrt[]{100} − 100 4) LaTeX: \sqrt[3]{27} I'm sorry that's the best i could do but i need an answer fast!!

Answer 1

Given:

Consider the expression are

1)
`√(36)`

2)
`\sqrt[3]{-8}`

3)
`-√(100)`

4)
`\sqrt[3]{27}`

To find:

The simplified form of each expression.

Solution:

1. We have,

`√(36)=√(6^2)`

`√(36)=6`

Therefore, the value of this expression is 6.

2. We have,

`\sqrt[3]{-8}=(-8)^{(1)/(3)}`

`\sqrt[3]{-8}=((-2)^3)^{(1)/(3)}`

`\sqrt[3]{-8}=(-2)^{(3)/(3)}`

`\sqrt[3]{-8}=-2`

Therefore, the value of this expression is -2.

3. We have,

`-√(100)=-√(10^2)`

`-√(100)=-10`

Therefore, the value of this expression is -10.

4. We have,

`\sqrt[3]{27}=(27)^{(1)/(3)}`

`\sqrt[3]{27}=(3^3)^{(1)/(3)}`

`\sqrt[3]{27}=(3)^{(3)/(3)}`

`\sqrt[3]{27}=3`

Therefore, the value of this expression is 3.