Math, asked by saviovarghese7426, 8 months ago

4root12 - 7root6 by 5root6 - 2root12

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Answered by ap4787061
0

Answer:

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Answered by aarushimiddha
0

\\=4\sqrt{12}-7\sqrt{6}/5\sqrt{6}-2\sqrt{12}\\=4\sqrt{3*4} -7\sqrt{6}/5\sqrt{6}-2\sqrt{3*4}\\=8\sqrt{3}-7\sqrt{6}/5\sqrt{6}-4\sqrt{6}\\=  8\sqrt{3}-7\sqrt{6}/5\sqrt{6}-4\sqrt{6}  * 5\sqrt{6}+4\sqrt{6}/ 5\sqrt{6}+4\sqrt{6}  \\\\numerator  \\=(8\sqrt{3}*5\sqrt{6} )+(8\sqrt{3}*4\sqrt{3}  )+(+7\sqrt{6}*5\sqrt{6}  )+(-7\sqrt{6}*4\sqrt{3}  )\\=40\sqrt{18}+(32*3)-35\sqrt{36}-28\sqrt{18}\\\\ \\=12\sqrt{18}+96-35\sqrt{36}\\=12\sqrt{18}+96-(35*6)\\= 12\sqrt{18}+96-210\\=12\sqrt{18}-114  \\denominator\\(5\sqrt{6}-4\sqrt{3} )(5\sqrt{6}-4\sqrt{3}  )\\(a-b)(a+b)=a^{2}  -b^{2} \\(5\sqrt{6} )^{2} - (4\sqrt{3} )^{2} \\150-48\\102\\\\answer\\12\sqrt{18}-114/102

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