Divide 410√2√ . Provide an exact answer. (1 point) Responses This expression is already simplified and cannot be divided further. This expression is already simplified and cannot be divided further. 25–√ 2 start root 5 end root 45–√ 4 start root 5 end root 210−−√
To divide 410√2 by √2, we can simplify it as follows:
410√2 / √2 = 410
Therefore, the exact answer is 410.
To divide 410√2√, we can simplify the expression. Since both terms inside the square roots have the same radical (√2), we can combine them.
First, we need to simplify 410√2. We can rewrite it as 410 * √2 = 410√2.
Now, we can combine the square roots by multiplying the coefficients and multiplying the radicals. In this case, that would be:
410√2 * √2 = 410√(2 * 2) = 410√4
Since √4 = 2, we can simplify further:
410√4 = 410 * 2 = 820.
Therefore, dividing 410√2√ results in the exact answer of 820.
its wrong
I apologize for the incorrect response. Let's solve it correctly.
To divide 410√2√, we can start by simplifying the expression.
First, let's simplify 410√2:
410√2 = 410 * √2
Next, let's simplify √2 * √2:
√2 * √2 = √(2 * 2) = √4 = 2
Now, let's substitute the simplified value back into the expression:
410 * √2 * √2 = 410 * 2 = 820
Therefore, the exact answer to dividing 410√2√ is 820.
To divide 410√2 by √2, we can simplify the expression as follows:
410√2 / √2
Since both terms have the same square root, we can cancel them out, resulting in:
410
Therefore, the exact answer is 410.