Which choice best shows the distributive property of multiplication.

(8 \times 6) \times 1 = 8 \times (6 \times 1)

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8 \times 1 = 8

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(8 \times 6) + (8 \times 1) = 8 \times (6 + 1)

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8 \times 6 = 6 \times 8

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Solution

The correct option is B $(8 \times 6) + (8 \times 1) = 8 \times (6 + 1)$
Option C consists of multiple way of obtaining the same solution.
Distributive property is defined on the basis of the same principle applied in Option C
LHS= $(8 \times 6) + (8 \times 1)$ = $48 + 8 = 56$
while
RHS= $8 \times (6 + 1)$ = $8 \times 7$ = $56$

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\frac{1}{(3 - \sqrt{8})} - \frac{1}{(\sqrt{8} - \sqrt{7})} + \frac{1}{(\sqrt{7} - \sqrt{6})} - \frac{1}{(\sqrt{6} - \sqrt{5})} + \frac{1}{(\sqrt{5} - 2)} = 5

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