Question

. Find the value of m​ + n​ given that 1000 = 2m​×​ 5n​.​

Answer 1

Answer:

$(m + n) = \sqrt{ {m}^{2} + {n}^{2} + 200}$

Step-by-step explanation:

1000 = 2m*5n

2mn = 200

Now, to find m+n

Squaring m+n

${(m + n)}^{2} = {m}^{2} + {n}^{2} + 2mn \\ {(m + n)}^{2} = {m}^{2} + {n}^{2} + 200 \\ (m + n) = \sqrt{ {m}^{2} + {n}^{2} + 200}$