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Square root of 5 •-4 Square root of 20x

User Brad Bird
by
8.4k points

1 Answer

5 votes

Answer:


- 40 √(x)

Explanation:

We want to simplify:


√(5) * - 4 √(20x)

We rewrite the radicand using prime factorization:


√(5) * - 4 √(4 * 5x)

This gives us


√(5) * - 4 √(4) * √(5) * √(x)

Create perfect squares and simplify:


(√(5) )^(2) * - 4 √(4) * √(x)


5 * - 4(2) √(x)


5 * - 8 √(x) = - 40 √(x)

User Fdcpp
by
8.7k points

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