add 5√10 + √10
To add 5√10 + √10, you can combine the like terms:
5√10 + √10 = (5 + 1)√10 = 6√10
Therefore, 5√10 + √10 = 6√10.
To add 5√10 and √10, we can combine the terms with the same radical (√10). In this case, we have 5√10 and √10.
The first step is to recognize that the radical term is the same (√10). Let's label 5√10 as "a" and √10 as "b" to make it easier to write the equation:
a = 5√10
b = √10
Now, we substitute the values of a and b into the equation:
a + b = 5√10 + √10
Replacing a with 5√10 and b with √10, we have:
5√10 + √10 = 5√10 + √10
To simplify further, we add the coefficients (numbers outside the radical):
5√10 + √10 = (5 + 1)√10 = 6√10
Therefore, 5√10 + √10 simplifies to 6√10.
To add 5√10 and √10, we can use the fact that both terms have the same radical (√10).
Step 1: Add the coefficients of the radicals:
5 + 1 = 6
Step 2: Keep the radical intact (√10).
Therefore, 5√10 + √10 = 6√10.
subtract 11√19 - 5√19
To subtract 11√19 - 5√19, we can follow a similar process as in addition.
Step 1: Recognize that the radical term is the same (√19). Let's label 11√19 as "a" and 5√19 as "b" to make it easier to write the equation:
a = 11√19
b = 5√19
Now, we substitute the values of a and b into the equation:
a - b = 11√19 - 5√19
Replacing a with 11√19 and b with 5√19, we have:
11√19 - 5√19 = 11√19 - 5√19
To simplify further, subtract the coefficients (numbers outside the radical):
11 - 5 = 6
Combine the radical term (√19):
6√19
Therefore, 11√19 - 5√19 simplifies to 6√19.
multiply (5√19) (6√2). give an exact answer
To multiply (5√19) (6√2), we can use the distributive property.
First, multiply the coefficients (numbers outside the radicals):
5 * 6 = 30.
Next, multiply the terms inside the radicals:
√19 * √2 = √(19 * 2) = √38.
Combining the coefficients and radical terms, we have:
(5√19) (6√2) = 30√38.
Therefore, the exact answer is 30√38.
divide √95/3√5. provide an exact answer
To divide √95/3√5, we can rationalize the denominator by multiplying the numerator and denominator by the conjugate of the denominator.
The conjugate of 3√5 is -3√5. So, multiplying the numerator and denominator by -3√5:
(√95 * -3√5)/ (3√5 * -3√5)
Simplifying the expression:
-3√(95*5)/ 3 * √(5*5)
-3√(475)/ 3 * √25
-3√(475)/ 3 * 5
-√475/5
Therefore, √95/3√5 simplifies to -√475/5.