Question 1

Simplify $2\sqrt(6)-3\sqrt(6)-\sqrt(5)$

Accepted Answer

$-\sqrt(6)-\sqrt(5)$

Answer

$-\sqrt(5)$

Answer

$-2\sqrt(-5)$

Answer

$-\sqrt(0)-\sqrt(5)$

Question 2

Simplify $2\sqrt(3)+2\sqrt(27)+2\sqrt(18)$

Accepted Answer

$8\sqrt(3)+6\sqrt(2)$

Answer

$6\sqrt(48)$

Answer

$8\sqrt(6)+6\sqrt(2)$

Answer

$2\sqrt(3)+6\sqrt(3)+6\sqrt(2)$

Question 3

Simplify $2\sqrt(2)+2\sqrt(2)-3\sqrt(20)$

Accepted Answer

$4\sqrt(2)-6\sqrt(5)$

Answer

$2\sqrt(4)-6\sqrt(5)$

Answer

$-2\sqrt(-3)$

Answer

$2\sqrt(2)+2\sqrt(2)-6\sqrt(5)$

Question 4

Simplify $\sqrt(5)[3+\sqrt(6)]$

Accepted Answer

$4\sqrt(2)-6\sqrt(5)$

Answer

$3\sqrt(35)$

Answer

$\sqrt(15)+\sqrt(30)$

Answer

$3\sqrt(30)$

Question 5

$\sqrt(3)[\sqrt(3)+4]$

Accepted Answer

$3+4\sqrt(3)$

Answer

$\sqrt(9)+4\sqrt(3)$

Answer

$\sqrt(9)+\sqrt(12)$

Answer

$7\sqrt(3)$

Question 6

Simplify $\sqrt(5)[4-3\sqrt(5)]$

Accepted Answer

$4\sqrt(5)-15$

Answer

$\sqrt(25)$

Answer

$4\sqrt(5)-3\sqrt(25)$

Answer

$\sqrt(-20)$

Question 7

Simplify $[\sqrt(3)+4\sqrt(2)][2\sqrt(3)-3\sqrt(2)]$

Accepted Answer

$-18+5\sqrt(6)$

Answer

$-13\sqrt(6)$

Answer

$-4\sqrt(36)$

Answer

$2\sqrt(9)-3\sqrt(6)+8\sqrt(6)-12\sqrt(4)$

Question 8

Simplify $[3\sqrt(2)-3\sqrt(3)][\sqrt(2)+4\sqrt(4)]$

Accepted Answer

$6+24\sqrt(2)-3\sqrt(6)-24\sqrt(3)$

Answer

$3\sqrt(4)+12\sqrt(8)-3\sqrt(6)-12\sqrt(12)$

Answer

$4\sqrt(6)$

Answer

$3\sqrt(-7)$

Question 9

Simplify $[-\sqrt(2)+4\sqrt(3)][-3\sqrt(2)-2\sqrt(2)]$

Accepted Answer

$10-20\sqrt(6)$

Answer

$5\sqrt(8)-20\sqrt(12)$

Answer

$3\sqrt(4)+2\sqrt(4)-12\sqrt(6)-8\sqrt(6)$

Answer

$-15\sqrt(20)$

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