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amid [387]
3 years ago
10

Find the value of the constant m √150 - √12m + √54 = 0​

Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

<u>m</u><u> </u><u>is</u><u> </u><u>√</u><u>2</u>

Step-by-step explanation:

{ \tt{ \sqrt{150}  -  \sqrt{12}m +  \sqrt{54}  = 0 }} \\ { \tt{ \sqrt{12}m } =  \sqrt{150}  -  \sqrt{54} } \\ { \tt{ (\sqrt{4 \times 3}) m = ( \sqrt{25 \times 6} ) - ( \sqrt{9 \times 6}) }} \\ { \tt{( \sqrt{4 \times 3} )m = 5 \sqrt{6}  - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3}m = 5 \sqrt{6}   - 3 \sqrt{6} }} \\ { \tt{2 \sqrt{3} m = 2 \sqrt{6} }} \\ { \tt{ \sqrt{3}  m =  \sqrt{6} }} \\ { \tt{ \sqrt{3} m = ( \sqrt{3} \times  \sqrt{2} ) }} \\ { \tt{m =  \sqrt{2} }}

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