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What is the following product? StartRoot 30 EndRoot times StartRoot 10 EndRoot 2 StartRoot 10 EndRoot 3 StartRoot 10 EndRoot 4 StartRoot 10 EndRoot 10 StartRoot 3 EndRoot

Respuesta :

Answer:

10 StartRoot 3 EndRoot

Step-by-step explanation:

The product of this radical is [tex]72000\sqrt{10}[/tex]

The given question requires us to perform an operation on root (radicals)

Product of Square Roots

To solve this problem, we have to multiply the given square roots

[tex]\sqrt{30} * \sqrt{10} * 2\sqrt{10} * 3\sqrt{10} * 4\sqrt{10} * 3\sqrt{10}[/tex]

If we look at this problem, they all have the same root and this can easily be manipulated mathematically.

Note that

[tex]\sqrt{x} * \sqrt{x} = x[/tex]

Let's use this principle here

[tex]\sqrt{30} * \sqrt{10} * 2\sqrt{10} * 3\sqrt{10} * 4\sqrt{10} * 10\sqrt{3} = 72000\sqrt{10}[/tex]

The product of this radical is [tex]72000\sqrt{10}[/tex]

Learn more on product of radicals here;

https://brainly.com/question/8952483