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How do I solve this? Please show work, thank you.

How do I solve this? Please show work, thank you.-example-1

1 Answer

2 votes

Answer:

x sqrt(7) - 49sqrt(x)

Explanation:

sqrt(7x) [ sqrt(x) - 7sqrt(7)]

Distribute

sqrt(7x) *sqrt(x) - sqrt(7x)*7sqrt(7)

We know that sqrt(a) sqrt(b)= sqrt(ab)

sqrt(7x^2) - 7sqrt(7^2 *x)

Now lets separate out the perfect squares

sqrt(7) *sqrt(x^2) - 7sqrt(7^2)*sqrt(x)

x sqrt(7) - 7*7sqrt(x)

x sqrt(7) - 49sqrt(x)

User Sjplural
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