Question

√200+√500 simplify the square root​

Answer 1

Answer:

10(√2-√5)

Step-by-step explanation:

√200+√500

$= \sqrt{2 \times 2 \times 2 \times 5 \times 5} - \sqrt{2 \times 2 \times 5 \times 5 \times 5}$

$= 2 \times 5 \sqrt{2} - 2 \times 5 \sqrt{5}$

$= 10 \sqrt{2} - 10 \sqrt{5}$

$= 10( \sqrt{2} - \sqrt{5} )$

Answer 2

$\orange{ \bold{ \underline{ \large{ \sqrt{2 \times 2 \times 2 \times 5 \times 5} + \sqrt{2 \times 2 \times 5 \times 5 \times 5} }}}}$

$\orange{ \bold{ \underline{ \large{10 \sqrt{2} + 10 \sqrt{5} }}}}$

$\green{ \bold{ \underline{ \large{ \Longrightarrow{ \bigstar{10( \sqrt{2} + \sqrt{5}) \: is \: your \: answer \: friend }}}}}}$