Question

find m if √m/289= 15/17​

Answer 1

m = 225

Step-by-step explanation:

$\sqrt{ \frac{m}{289} } = \frac{15}{17}$

$\frac{ \sqrt{m} }{17} = \frac{15}{17}$

$\sqrt{m} = \frac{15}{17} \times 17$

$m = {(15)}^{2}$

m = 225

Answer 2

Answer:

m = 225

Step-by-step explanation:

$\sqrt{ \frac{m}{289} } = \frac{15}{17} \\ = > \frac{ \sqrt{m} }{ \sqrt{289} } = \frac{15}{17} \\ = > \frac{ \sqrt[]{m} }{17} = \frac{15}{17} \\ = > \sqrt{m} = \frac{15}{17} \times 17 \\ = > \sqrt{m} = 15 \\ = > (\sqrt{m} )^{2} = {15}^{2} \\ = > m = 225$

Hence the value of m = 225

hope it helps.