add 5√10 + √10
A. 6√10
B. 6√20
C. √60
D. √25
5√10 + √10 = (5 + 1)√10 = 6√10
So, the answer is option A. 6√10.
To simplify the expression 5√10 + √10, we first notice that both terms have the same radicand, which is √10.
Step 1:
We can combine similar terms by adding their coefficients. In this case, the coefficients are 5 and 1. So, 5√10 + √10 simplifies to (5 + 1)√10.
Step 2:
Adding the coefficients 5 and 1 gives us 6. Therefore, (5 + 1)√10 simplifies to 6√10.
The simplified expression is 6√10. So, the answer is A. 6√10.
To add the terms 5√10 and √10, we need to simplify the square root of 10 first.
The square root of 10 can be simplified as follows:
√10 = √(2 * 5) = √2 * √5 = √2√5 = √2√5
Now, let's rewrite the expression using the simplified square root of 10:
5√10 + √10 = 5(√2√5) + (√2√5)
Notice that both terms have the same square root of 10. This allows us to combine them:
5(√2√5) + (√2√5) = (5 + 1)(√2√5) = 6(√2√5)
Therefore, the simplified expression is 6(√2√5).
Looking at the answer choices:
A. 6√10 - Not the correct answer.
B. 6√20 - This is not equal to 6(√2√5), so it's not the correct answer.
C. √60 - This is not equal to 6(√2√5), so it's not the correct answer.
D. √25 - This is not equal to 6(√2√5), so it's not the correct answer.
The correct answer, therefore, is A. 6√10.
subtract 11√19 - 5√19
The difference is ___
To subtract 11√19 - 5√19, we can combine like terms.
11√19 - 5√19 = (11 - 5)√19
The difference is 6√19.
Multiply (5√19) (6√2). give an exact answer
To multiply (5√19) (6√2), we can use the commutative property to rearrange the terms:
(5√19) (6√2) = 5 * 6 * √19 * √2
Multiplying the coefficients gives:
(5√19) (6√2) = 30 * √19 * √2
Now, using the property √a * √b = √(a * b), we can combine the radicals:
30 * √19 * √2 = 30 * √(19 * 2)
Simplifying further:
30 * √(19 * 2) = 30 * √38
Therefore, the exact answer is 30√38.
Divide √95 / 3√5 give an exact answer
To divide √95 / 3√5, we can rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator.
√95 / 3√5 = (√95 / 3√5) * (√5 / √5)
Multiplying the numerators and denominators gives us:
(√95 * √5) / (3√5 * √5)
Simplifying the numerator and denominator:
√475 / (3 * 5)
√475 / 15
Therefore, the exact answer is (√475) / 15.