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Popular >

simplify 1/(sqrt(5)-2)

Solution

simplify

\frac{1}{5 - 2}

Solution

5 + 2

+1

Decimal Notation

4.23606 \dots

Solution steps

\frac{1}{5 - 2}

Multiply by the conjugate

\frac{5 + 2}{5 + 2}

= \frac{1 \cdot ( 5 + 2 )}{( 5 - 2 ) ( 5 + 2 )}

1 \cdot (5 + 2) = 5 + 2

(5 - 2) (5 + 2) = 1

= \frac{5 + 2}{1}

Apply rule

\frac{a}{1} = a

= 5 + 2

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Frequently Asked Questions (FAQ)

What is 1/(sqrt(5)-2) ?
The solution to 1/(sqrt(5)-2) is sqrt(5)+2