Express in simplest radical form.
√10√50
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.
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.
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.
To express √10√50 in simplest radical form, we can simplify it by using the property of radicals that says √a * √b = √(a * b).
First, let's simplify the expression √10√50 step by step:
1. √10√50 = √(10 * 50) (Apply the property of radicals)
2. √10√50 = √(500)
Now, let's simplify the expression further by factoring out the perfect square from inside the square root:
3. √10√50 = √(100 * 5) (We can write 500 as 100 * 5)
4. √10√50 = √100 * √5 (Using the property of radicals again)
5. √10√50 = 10√5 (The square root of 100 is 10)
Therefore, √10√50 simplified in simplest radical form is 10√5.