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Troyanec [42]
2 years ago
15

How do I get the answer??

Mathematics
1 answer:
Lubov Fominskaja [6]2 years ago
3 0

Answer:

4√10

Step-by-step 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

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