Question

4√54(3√98-4√50+5√108-6√75)

Answer 1

Răspuns: $\bf 24\sqrt{3}$

Explicație pas cu pas:

Salutare!

$\bf 4\sqrt{54}\cdot(3\sqrt{98} -4\sqrt{50} +5\sqrt{108}-6\sqrt{75} )=$

$\bf 4\cdot 3\sqrt{6}\cdot(3\cdot7\sqrt{2} -4\cdot5\sqrt{2} +5\cdot6\sqrt{3}-6\cdot5\sqrt{3} )=$

$\bf 12\sqrt{6}\cdot(21\sqrt{2}-20\sqrt{2} +30\sqrt{3}-30\sqrt{3} )=$

$\bf 12\sqrt{6}\cdot(21\sqrt{2}-20\sqrt{2})=$

$\bf 12\sqrt{6}\cdot\sqrt{2}\cdot (21-20)=$

$\bf 12\sqrt{6\cdot2}\cdot 1=$

$\bf 12\sqrt{12}=$

$\bf 12\cdot2\sqrt{3}=$

$\boxed{\bf 24\sqrt{3}}$

==pav38==

Answer 2

ti am atasat o poza

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