Question

How do I get the answer??

Answer 1

4√10

Explanation:

Hello!

Let's first simplify the radical.

We can do this by expanding the radical:

We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.

Let's work with √45:

• √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
• √9 simplifies to 3, so it is 3√5

Now we can simplify the operation in the parenthesis by combining like terms:

• 3√5 + √5
• √5 + √5 + √5 + √5
• 4√5

Now using the same rule as above, we can multiply the values:

• √2(4√5)
• 4√10

Your solution is 4√10