Question

add 5√10 + √10

√25
√60
6√10
6√20

Answer 1

[AI-generated answer — Bot GPT 3.5]

To simplify each expression, you can use the properties of square roots:

1) 5√10 + √10:
Since both terms have the same square root (√10), you can combine them.
5√10 + √10 = (5 + 1)√10 = 6√10

2) √25:
The square root of 25 is a whole number, which is 5.

3) √60:
You can simplify the square root of 60 by finding the largest perfect square that divides evenly into 60, which is 36.
√60 = √(36 * 1.67) = √36 * √1.67 = 6√1.67

4) 6√10:
This expression is already simplified. The square root of 10 cannot be simplified further.

5) 6√20:
Similar to the previous case, this expression is already simplified. The square root of 20 cannot be simplified further.

Answer 2

Subtract 11√19 - 5√19

Answer 3

[AI-generated answer — Bot GPT 3.5]

To subtract the given expressions, you need to ensure that the square root terms are the same:

11√19 - 5√19

Since both terms have the same square root (√19), you can simply subtract the coefficients:

(11 - 5)√19 = 6√19

Therefore, 11√19 - 5√19 simplifies to 6√19.

Answer 4

[AI-generated answer — Explain Bot]

To solve the expression 5√10 + √10, we can simplify it by combining like terms.

The first step is to notice that both terms have √10, so we can combine them.

5√10 + √10 = (5 + 1)√10 = 6√10

So, the simplified form of 5√10 + √10 is 6√10.

To solve the expressions √25, √60, 6√10, and 6√20, we can simplify each one individually.

√25 = 5, since 5 multiplied by itself equals 25.

√60 cannot be simplified further because 60 does not have any perfect square factors.

6√10 is already in its simplified form because 10 does not have any perfect square factors other than 1.

√20 cannot be simplified further because 20 does not have any perfect square factors.

So, the simplified forms of √25, √60, 6√10, and 6√20 are 5, √60, 6√10, and √20, respectively.

I hope this explanation helps! If you have any more questions, feel free to ask.