Question

Addition of expressions (3√5 -5√3 ) and (2√5 + 5√3 ) gives

Answer 1

Hii!

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`\leadsto\parallel\odot\boldsymbol{Answer.}\odot\parallel\gets`

value of the expression:
`\sf 5\sqrt5`

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`\leadsto\parallel\odot\boldsymbol{Explanation.}\odot\parallel\gets`

ADD the given expressions.

`\bullet~~`
`\sf (3√(5) -5√(3) )+(2√(5)+5√(3))`

`\bullet`
`\sf 3\sqrt5+2\sqrt5-5\sqrt3+5√(3)`

NOW it's just a matter of combining like terms. Upon doing this we obtain

`\bullet \sf 5\sqrt5`

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Hope that this helped! Best wishes.

`\textsl{Reach far. Aim high. Dream big.}`

`\boldsymbol{-Greetings!-}`

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Answer 2

`\sf{\qquad\qquad\huge\underline{{\sf Answer}}}`

Let's add ~

`\qquad \sf  \dashrightarrow \: 3 √(5) - 5 √(3) + (2 √(5) + 5 √(3) )`

`\qquad \sf  \dashrightarrow \: 3 √(5) + 2 √(5 )- \cancel{5 √(3)} + \cancel{5 √(3) }`

`\qquad \sf  \dashrightarrow \: 5 √(5)`