Math, asked by purimahir17, 9 months ago

2√7 + 5√7 - 7√343. Please evaluate with proper steps and explanation

Answers

Answered by AyushVarma1191
0

Answer:

56 \sqrt{7}

Step-by-step explanation:

2 \sqrt{7}  + 5 \sqrt{7}  - 7 \sqrt{343}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \: =  2 \sqrt{7}  + 5 \sqrt{7}  - 7 \sqrt{7 \times 7 \times 7}  \:  \:  \:  \:  \:  \:  = 2 \sqrt{7}  + 5 \sqrt{7}  + 7 \times 7 \sqrt{7} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   = 2 \sqrt{7}  + 5 \sqrt{7}  + 49 \sqrt{7}  \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = (2 + 5 + 49) \sqrt{7}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  = 56 \sqrt{7}

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