Question

find the value of X
$\sqrt[3]{x} + \sqrt[3]{x - 16} = \sqrt[3]{x - 8} \\ find \: the \: value \: of \: x$
​

Answer 1

Answer:

Simplifying square roots

Example

Let's simplify \sqrt{75}

75

square root of, 75, end square root by removing all perfect squares from inside the square root.

We start by factoring 757575, looking for a perfect square:

75=5\times5\times3=\blueD{5^2}\times375=5×5×3=5

2

×375, equals, 5, times, 5, times, 3, equals, start color #11accd, 5, squared, end color #11accd, times, 3.

We found one! This allows us to simplify the radical:

\begin{aligned} \sqrt{75}&=\sqrt{\blueD{5^2}\cdot3} \\\\ &=\sqrt{\blueD{5^2}} \cdot \sqrt{{3}} \\\\ &=5\cdot \sqrt{3} \end{aligned}

75

=

5

2

⋅3

=

5

2

⋅

3

=5⋅

3

So \sqrt{75}=5\sqrt{3}

75

=5

3

square root of, 75, end square root, equals, 5, square root of, 3, end square root.

Step-by-step explanation:

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