Find the sum. $$\sqrt { 27 } + \sqrt { 75 }$$
A) $5 \sqrt { 4 }$
B) $7 \sqrt { 3 }$
C) $3 \sqrt { 7 }$
D) $8 \sqrt { 3 }$
E) $3 \sqrt { 8 }$

Question

Quizplus · Accepted Answer

We can simplify $\sqrt {27}$ and $\sqrt {75}$:

$\sqrt {27} = \sqrt {9 \cdot 3} = \sqrt {9} \cdot \sqrt {3} = 3 \sqrt {3}$

$\sqrt {75} = \sqrt {25 \cdot 3} = \sqrt {25} \cdot \sqrt {3} = 5 \sqrt {3}$

So, $\sqrt {27} + \sqrt {75} = 3 \sqrt {3} + 5 \sqrt {3} = 8 \sqrt {3}$, which corresponds to answer choice $\boxed{	extbf{(D)}}$.

Find the Sum 27+75\sqrt { 27 } + \sqrt { 75 }27​+75​