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emmainna [20.7K]
3 years ago
8

Simplify. 5√ 10 1) 2√ 2) 2√2 3) 10√2 4) 5√

Mathematics
1 answer:
Nataly_w [17]3 years ago
8 0

For this case we have that the expression in its exact form is the same, that is:

5 \sqrt {10}

If it is expressed in decimal form we have:

5 \sqrt {10} = 1.5849

If we want equivalent expressions, we must first mention the following property of powers and roots:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

Then, we can rewrite the expression as:

5 \sqrt {10} = \sqrt {5 ^ 2 * 10} = \sqrt {25 * 10} = \sqrt {250}

Answer:

5 \sqrt {10} = \sqrt {250} = 1.5849

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