Question

1 + root 7 / 1 minus 2 root 7​

Answer 1

$\huge\mathfrak{Bonjour!!}$

$\huge\bold\purple{ANSWER:}$

⏩ 1+√7/1-2√7

Rationalize the denominator...

→(1+√7)(1+2√7) /-27

Multiply the parentheses...(on numerator)

→1+2√7+√7+14 /-27

Add and collect the like terms...(on numerator)

→15+3√7/-27

Factor out 3 from the expression (from numerator)

→3(5+√7)/-27

Now, reduce the fraction with 3...

→5+√7/-9

Use -a/b = a/-b = -[a/b] to rewrite the fraction...

→ - 5+√7/9 [ The required solution..]

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Hope it helps...:-)

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