Add 5 √ 10 + √ 10.
5√10 + √10 can be simplified by combining like terms.
√10 is a like term which appears twice in the expression.
Therefore, we can simplify the expression as follows:
5√10 + √10 = 6√10
So, 5√10 + √10 = 6√10.
To add √10 and 5√10, we need to first simplify the terms.
√10 cannot be simplified further because 10 does not have any perfect square factors.
So, 5√10 remains as it is.
Now, we can add √10 and 5√10:
√10 + 5√10 = (1 + 5)√10 = 6√10
Therefore, 5√10 + √10 = 6√10.
To add 5√10 and √10, we first notice that both terms have a common factor of √10. We can combine these two terms by factoring out the common factor.
Step 1: Factor out √10:
5√10 + √10 = √10(5 + 1)
Step 2: Simplify:
√10(5 + 1) = √10 * 6
Step 3: Multiply:
√10 * 6 = 6√10
Therefore, 5√10 + √10 = 6√10.
Subtract 1119−−√−519
To subtract 1119 - √519, we first need to simplify the square root of 519.
√519 is an irrational number, and we cannot simplify it further by factoring out any perfect square factors.
So, we can rewrite the expression as:
1119 - √519
And that is the final answer: 1119 - √519.
Subtract 11 √ 19 − 5 √ 19
To subtract 11√19 - 5√19, we can combine like terms.
Both terms have the same square root of 19, so we can factor it out:
(11 - 5)√19
Simplifying inside the parentheses:
6√19
Therefore, 11√19 - 5√19 = 6√19.
Multiply (5 √ 19) (6 √ 2) . Give an exact answer
To multiply (5√19)(6√2), we can use the distributive property of multiplication over addition.
First, multiply the coefficients (numbers outside the square roots):
5 * 6 = 30
Then, multiply the terms inside the square roots:
√19 * √2 = √(19 * 2) = √38
Putting it all together, we have:
(5√19)(6√2) = 30√38
Therefore, (5 √ 19)(6 √ 2) is equal to 30√38.