What is rationalizedenominator 4/(sqrt(5)-2) ?

The solution to rationalizedenominator 4/(sqrt(5)-2) is 4(sqrt(5)+2)

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rationalizedenominator 4/(sqrt(5)-2)

rationalize denominator

\frac{4}{5 - 2}

4 (5 + 2)

Decimal Notation

16.94427 \dots

Solution steps

\frac{4}{5 - 2}

Multiply by the conjugate

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

= \frac{4 ( 5 + 2 )}{( 5 - 2 ) ( 5 + 2 )}

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

= \frac{4 ( 5 + 2 )}{1}

Apply rule

\frac{a}{1} = a

= 4 (2 + 5)

sin (θ) + cot (θ) cos (θ)

f (x) x^{3}

(x^{2} + 2) (x^{2} + 2)

- 3 x^{2} (6 x^{2} + 2 x - 3)

What is rationalizedenominator 4/(sqrt(5)-2) ?
The solution to rationalizedenominator 4/(sqrt(5)-2) is 4(sqrt(5)+2)