Question

Решите пожайлста







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Answer 1

$1)frac{1}{3}sqrt{54}=sqrt{frac{1}{9}*54 }=sqrt{6}\\3=sqrt{9}\\sqrt{6}<sqrt{9}\\frac{1}{3}sqrt{54}<3$

$2)4sqrt{50}=4sqrt{25*2}=4*5sqrt{2}=20sqrt{2} \\5sqrt{32}=5sqrt{16*2} =5*4sqrt{2}=20sqrt{2}\\20sqrt{2}=20sqrt{2}\\4sqrt{50} =5sqrt{32}$

$3)5sqrt{27}=5sqrt{9*3}=5*3sqrt{3}=15sqrt{3}\\3sqrt{75}=3sqrt{25*3}=3*5sqrt{3}=15sqrt{3}\\15sqrt{3}=15sqrt{3} \\5sqrt{27}=3sqrt{75}$