Question

√125+5√80+4√245
Simplify the following given question with proper steps.

Answer 1

Answer:

$\sqrt{125} + 5 \sqrt{80} + 4 \sqrt{245} = 73 \sqrt{5}$

Step-by-step explanation:

$\sqrt{125} + 5 \sqrt{80} + 4 \sqrt{245}$

$= \sqrt{25 \times 5} + 5 \sqrt{16 \times 5} + 4 \sqrt{49 \times 5}$

$= \sqrt{ {5}^{2} \times 5 } + 5 \sqrt{ {4}^{2} \times 5 } + 4 \sqrt{ {7}^{2} \times 5 }$

$= 25 \sqrt{5} + 20 \sqrt{5} + 28 \sqrt{5}$

$= 73 \sqrt{5}$