-6√72 - 5√20 - √98 + 6√125

Question

Im really confused on this one

Answer 1

reorder tu 6*sqrt(125)-sqrt(98) -6*sqrt(72) -5*sqrt(20)

125=5*25, so sqrt(125) become 5*sqrt(5) & 6*sqrt(125)=30*sqrt(5)

98=2*49, so sqrt(98) become 7*sqrt(2)

72=2*36, so sqrt(72)=6*sqrt(2)...-6*sqrt(72)=-36*sqrt(2)

20=4*5, so sqrt(20)=2*sqrt(5)...-5*sqrt(20)=-5*4*sqrt(5)

sum=30*sqrt(5)-20*sqrt(5) -7*sqrt(2) -36*sqrt(2)

=10*sqrt(5) -43*sqrt(2)

Answer 2

Given -6√72 - 5√20 - √98 + 6√125
-6√(6*6*2)-5√(5*2*2)-√(7*7*2)+6√(5*5*5)
-36√2-10√5-7√2+30√5
√2(-36-7)+√5(-10+30)
√2(-43)+√5(20)
20√5-43√2
-16.08982

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