To subtract \(11 \sqrt{19} - 5 \sqrt{19}\), you can combine the like terms since both terms involve \(\sqrt{19}\).
\[ 11 \sqrt{19} - 5 \sqrt{19} = (11 - 5) \sqrt{19} = 6 \sqrt{19} \]
So, the difference is \(6 \sqrt{19}\).
Subtract 11 square root 19 - 5 square root 19. (1 point)
The difference is
3 answers
Multiply (5sqrt19 ) (6sqrt2). Give an exact answer. (1 point)
To multiply \( (5\sqrt{19}) \) and \( (6\sqrt{2}) \), you can multiply the coefficients (5 and 6) and then multiply the square roots:
\[ (5\sqrt{19})(6\sqrt{2}) = 5 \cdot 6 \cdot \sqrt{19} \cdot \sqrt{2} \]
\[ = 30 \cdot \sqrt{19 \cdot 2} \]
Now, simplify the square root:
\[ = 30 \cdot \sqrt{38} \]
Thus, the exact answer is
\[ 30\sqrt{38} \]