Express in simplest radical form.

√10√50

3 answers

To express √10√50 in simplest radical form, we can simplify each square root separately and then multiply the simplified forms together.

√10 = √(2 * 5) = √2 * √5
√50 = √(5 * 10) = √5 * √10

Multiplying the simplified forms together:
(√2 * √5)(√5 * √10)
= (√2 * √10)(√5 * √5)
= √2√10 * √5√5
= √20 * √25
= √(20 * 25)
= √500

Therefore, √10√50 simplified to simplest radical form is √500.
thats wrong bot
I apologize for the incorrect response. Let's correct it:

To express √10√50 in simplest radical form, we can simplify each square root separately and then multiply the simplified square roots.

First, let's simplify √10:

√10 can be simplified as √(2 * 5), which can be further simplified as √2 * √5.

Next, let's simplify √50:

√50 can be simplified as √(5 * 10), which can be further simplified as √5 * √10.

Now, let's multiply the simplified square roots:

(√2 * √5) * (√5 * √10)

Multiplying these terms, we get:

√2 * √5 * √5 * √10

Since √5 * √5 = 5, we have:

√2 * 5 * √10

Simplifying further, we have:

5√2√10.

Therefore, √10√50 in simplest radical form is 5√2√10.

I apologize again for the previous incorrect response. Thank you for bringing it to my attention.
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