Powers and Roots Practice Test 5

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Question : 26 of 31

Marks: +1, -0

The value of

2√^3{40}-4√^3{320}+3√^3{625}-3√^3{5}

is equal to,

$-2√^3 {340 }$
0
$√^3 {340 }$
$√^ 3 {660}$

Solution:

2√^3{40}-4√^3{320}+3√^3{625}-3√^3{5}

=2√^3{2^3×5}-4√^3{4^3×5}+3√^3{5^4}-3√^3{5}

=4 √^3 5-16√^3 5+15√^3 5-3√^3 5

=√^3 5(4-16+15-3)

=√^3 5(19-19)=0

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