Question

Calcule e simplifique (passo a passo)

a)√2•√5
b)√2•√98
c)√20•√9/20
e)√200•√2

Answer 1

$a) \sqrt{2} . \sqrt{5} = \sqrt{2.5}= \sqrt{10} \\ \\ \\ b) \sqrt{2} . \sqrt{98} = \sqrt{2.98} = \sqrt{196} = 14 \\ \\ \\ c) \sqrt{20} .\sqrt{ \frac{9}{20}} = \sqrt{ \frac{20}{1} . \frac{9}{20} } = \sqrt{ \frac{180}{20}} = \sqrt{9}=3\\ \\ \\ e) \sqrt{200} . \sqrt{2} = \sqrt{200*2} = \sqrt{400} =20$