Math, asked by ak1927759, 11 months ago

2 root 18 minus 3 root 48 - 3 root 98 + 5 root 27 + 9 root 72 full solution​

Answers

Answered by DSamrat
17

Answer:

 \:  \:  \:  \:  \:  \:  \\ 39 \sqrt{2}  + 3 \sqrt{3}  \\

Step-by-step explanation:

2 \sqrt{18}  - 3 \sqrt{48}  - 3 \sqrt{98}   + 5 \sqrt{27}  + 9 \sqrt{72}  \\  \\  = 2 \sqrt{9 \times 2}  -  3\sqrt{16 \times 3}  - 3 \sqrt{49 \times 2}  + 5 \sqrt{9 \times 3}  + 9 \sqrt{36 \times 2}  \\  \\  = 2 \sqrt{ {3}^{2}  \times 2}  -  3\sqrt{ {4}^{2}  \times 3}  - 3 \sqrt{ {7}^{2}  \times 2}  + 5 \sqrt{ {3}^{2}  \times 3}  + 9 \sqrt{ {6}^{2}  \times 2} \\  \\  = 6 \sqrt{2 }  - 12 \sqrt{3}  - 21 \sqrt{2}  + 15 \sqrt{3}  + 54 \sqrt{2}  \\  \\  = 39 \sqrt{2}  + 3 \sqrt{3}  \\

 \:  \:  \:  \:  \:  \:  \:  \:\:  \:  \: THANKS \:

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