Question

How do you simplify the square root of 5 open parentheses 10 minus 4 square root of 2 close parentheses?

Answer 1

Hint: To solve the given question first we will convert the given statement into mathematical expression. Then we will simplify the obtained mathematical expression by solving the operations given. Thus by simplifying the obtained expression we will get the desired answer.

Complete step by step answer:
We have been given a statement the square root of 5 open parentheses 10 minus 4 square root of 2 close parentheses.
We have to simplify the given statement.
To simplify the given statement first we need to convert it into mathematical form. So by converting the statement into mathematical form we will get
$\Rightarrow \sqrt{5}\left( 10-4\sqrt{2} \right)$
Now, simplifying the above obtained expression we will get
\[\Rightarrow 10\sqrt{5}-4\sqrt{2}\times \sqrt{5}\]
Now, we can multiply the numbers inside the square root to each other then we will get
\[\Rightarrow 10\sqrt{5}-4\sqrt{10}\]
Hence above is the simplified form of the given statement.

Note: The possibilities of mistake while solving this question in conversion of statement into mathematical form. Students may misplace the parenthesis which changes the meaning of the whole expression. Also students may write the statement 10 minus 4 square root of 2 as $10-\sqrt{4\sqrt{2}}$ . So while solving such types of questions please concentrate on converting the statement into mathematical form to avoid mistakes.