What is 3/(sqrt(5)-\sqrt{2)} ?

The solution to 3/(sqrt(5)-\sqrt{2)} is sqrt(5)+sqrt(2)

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simplify 3/(sqrt(5)-\sqrt{2)}

simplify

\frac{3}{5 - 2}

5 + 2

Decimal Notation

3.65028 \dots

Solution steps

\frac{3}{5 - 2}

Multiply by the conjugate

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

= \frac{3 ( 5 + 2 )}{( 5 - 2 ) ( 5 + 2 )}

Expand

3 (5 + 2) : 35 + 32

Expand

(5 - 2) (5 + 2) : 3

= \frac{3 5 + 3 2}{3}

Factor out common term

3

= \frac{3 ( 5 + 2 )}{3}

Cancel the common factor:

3

= 5 + 2

2 (x + 7) + 3 (x + 1)

48 \div 8

a^{4} + 2 a^{2} + 9

3 z + 2 + (- 5 z) + 6

e^{l n (x) + x}

What is 3/(sqrt(5)-\sqrt{2)} ?
The solution to 3/(sqrt(5)-\sqrt{2)} is sqrt(5)+sqrt(2)