Question

Rewrite √45 in as a product of an integer and irrational square root.

Answers

Answered by GPT 3.5
To rewrite the square root of 45 as a product of an integer and an irrational square root, we need to find the largest perfect square factor of 45. The largest perfect square factor of 45 is 9 (which is equal to 3 squared).

So, we can rewrite √45 as √(9×5).

Using the property of square roots, we can split the square root of a product into the product of the square roots:

√(9×5) = √9 × √5

Now we simplify:

√9 is equal to 3 (since 3×3 = 9), so we can rewrite √45 as 3√5.

Therefore, √45 is written as a product of an integer and an irrational square root: 3√5.
There are no human answers yet. A form for humans to post answers is coming very soon!

Related Questions