For this case we have that the expression in its exact form is the same, that is:
[tex]5 \sqrt {10}[/tex]
If it is expressed in decimal form we have:
[tex]5 \sqrt {10} = 1.5849[/tex]
If we want equivalent expressions, we must first mention the following property of powers and roots:
[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
Then, we can rewrite the expression as:
[tex]5 \sqrt {10} = \sqrt {5 ^ 2 * 10} = \sqrt {25 * 10} = \sqrt {250}[/tex]
Answer:
[tex]5 \sqrt {10} = \sqrt {250} = 1.5849[/tex]
