add 5√10 + √10
A. √25
B. 6√20
C. √60
D. 6√10
To add these two terms, we first recognize that they have a common factor of $\sqrt{10}$. We can factor that out to get $5\sqrt{10} + \sqrt{10} = (5+1)\sqrt{10} = \boxed{6\sqrt{10}}$.
To add the expressions 5√10 and √10, we can combine the like terms. Both expressions have √10, so we can simply add the coefficients, which are 5 and 1.
5√10 + √10 = (5 + 1)√10 = 6√10
Therefore, the correct answer is D. 6√10.
To add 5√10 and √10, we can combine the like terms. Since both terms have √10, we simply add the coefficients in front of √10.
5√10 + √10 = (5 + 1)√10 = 6√10
Therefore, the correct answer is option D. 6√10
subtract 11√19 - √19
To subtract these two terms, we subtract the coefficients in front of $\sqrt{19}$.
$11\sqrt{19} - \sqrt{19} = (11 - 1)\sqrt{19} = 10\sqrt{19}$.
Therefore, the correct answer is $\boxed{10\sqrt{19}}$.
multiply (5√19) (6√2) give an exact answer
To multiply these two terms, we multiply the coefficients and the radicands separately.
$(5\sqrt{19})(6\sqrt{2}) = 5 \cdot 6 \cdot \sqrt{19} \cdot \sqrt{2} = 30 \sqrt{38}$.
Therefore, the exact answer is $\boxed{30\sqrt{38}}$.
divide √95/3√5 provide an exact answer
To divide these two terms, we rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator, which is $\sqrt{5}$.
$\frac{\sqrt{95}}{3\sqrt{5}} = \frac{\sqrt{95}}{3\sqrt{5}} \cdot \frac{\sqrt{5}}{\sqrt{5}}$
Simplifying the denominator, we have:
$\frac{\sqrt{95}\cdot \sqrt{5}}{3\sqrt{5} \cdot \sqrt{5}} = \frac{\sqrt{475}}{3\cdot 5}$
Finally, simplifying the square root of 475 and multiplying in the denominator, we obtain:
$\frac{\sqrt{475}}{3 \cdot 5} = \boxed{\frac{\sqrt{19}}{3}}$.