Question

Add each of the following ?

$\sf i. ( 5√3 - 7√2 ) and (2√3 + 4√2 )$
$\sf \: ii . ( 6√3 + 5√5 - 4√7 ) \\ \sf \: and \\ (√3 - 4√5 + 3√7)$
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Answer 1

$\texttt{\textsf{\large{\underline{Question 1}:}}}$

Sum of (5√3 - 7√2) and (2√3 + 4√2):

= (5√3 - 7√2) + (2√3 + 4√2)

= 5√3 - 7√2 + 2√3 + 4√2

= 5√3 + 2√3 + 4√2 - 7√2

= 7√3 - 3√2  (Answer)

$\rule{300}{2}$

$\texttt{\textsf{\large{\underline{Question 2}:}}}$

Sum of (6√3 + 5√5 - 4√7) and (√3 - 4√5 + 3√7):

= 6√3 + 5√5 - 4√7 + √3 - 4√5 + 3√7

= 6√3 + √3 + 5√5 - 4√5 + 3√7 - 4√7

= 7√3 + √5 -√7 (Answer)

$\texttt{\textsf{\large{\underline{Note}:}}}$

• √x means x raised to the power ½.

Answer 2

Answer:

$Sum \: of \: (5√3 - 7√2) \: and (2√3 + 4√2)$

$\sf \implies (5√3 - 7√2) + (2√3 + 4√2)$

$\sf \implies 5√3 - 7√2 \: \: + \: \: 2√3 + 4√2$

$\sf \implies 5√3 + 2√3 \: \: + \: \: 4√2 - 7√2$

$\pink{Answer \sf \implies 7√3 - 3√2}$

Question:2

Sum of (6√3 + 5√5 - 4√7) & (√3 - 4√5 + 3√7):

$\sf \implies 6√3 + 5√5 - 4√7 \: \: + \: \: √3 - 4√5 + 3√7$

$\sf \implies 6√3 + √3 + 5√5 \: \: \: - \: \: \: 4√5 + 3√7 - 4√7$

$\pink{answer\sf \implies 7√3 + √5 -√7}$

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