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blondinia [14]
3 years ago
10

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 bes

t i could do but i need an answer fast!!
Mathematics
1 answer:
Mamont248 [21]3 years ago
3 0

Given:

Consider the expression are

1) \sqrt{36}

2) \sqrt[3]{-8}

3) -\sqrt{100}

4) \sqrt[3]{27}

To find:

The simplified form of each expression.

Solution:

1. We have,

\sqrt{36}=\sqrt{6^2}

\sqrt{36}=6

Therefore, the value of this expression is 6.

2. We have,

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

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

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

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

Therefore, the value of this expression is -2.

3. We have,

-\sqrt{100}=-\sqrt{10^2}

-\sqrt{100}=-10

Therefore, the value of this expression is -10.

4. We have,

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

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

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

\sqrt[3]{27}=3

Therefore, the value of this expression is 3.

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