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.
add 5√10 + √10
√25
√60
6√10
6√20
3 answers
Subtract 11√19 - 5√19
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.
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.