Question

READ QUESTION CAREFULLY, PLS ANSWER WITH WORKING

Answer 1

Expressions for 'c' and 'd' in terms of 'a' will be $(d=4a)$ and $(c=a^2+8)$.

  In question number 12, it's given that $(a+\sqrt{8})^2$ can be written as $(c+d\sqrt{2})$.

So the expression representing the situation will be,

$(a+\sqrt{8})^2=(c+d\sqrt{2})$

Now simplify the expression,

$a^2+8+2a\sqrt{8}=c+d\sqrt{2}$

$(a^2+8)+2a\sqrt{8}=(c+d\sqrt{2})$

$(a^2+8)+4a\sqrt{2}=(c+d\sqrt{2})$

Compare both the sides of the equation,

$c=a^2+8$

$4a\sqrt{2}=d\sqrt{2}$

$d=4a$

    Therefore, $(d=4a)$ and $(c=a^2+8)$ will be the expressions for c and d in terms of a.

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