What is (sqrt(10))/(sqrt(5)-2) ?

The solution to (sqrt(10))/(sqrt(5)-2) is 5sqrt(2)+2sqrt(10)

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simplify (sqrt(10))/(sqrt(5)-2)

simplify

\frac{10}{5 - 2}

52 + 210

Decimal Notation

13.39562 \dots

Solution steps

\frac{10}{5 - 2}

Multiply by the conjugate

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

= \frac{10 ( 5 + 2 )}{( 5 - 2 ) ( 5 + 2 )}

Expand

10 (5 + 2) : 52 + 210

Expand

(5 - 2) (5 + 2) : 1

= \frac{5 2 + 2 10}{1}

Apply the fraction rule:

\frac{a}{1} = a

= 52 + 210

(\frac{( a ^{2} - b ^{2} )}{( a + b )}) - (a + b)^{2} + 2 (a^{2} + ab)

- 6 (x - 6) = 3 (x + 0)

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

2^{(\frac{2}{3})}

3 (7 - v) + 3 v \geq 17

What is (sqrt(10))/(sqrt(5)-2) ?
The solution to (sqrt(10))/(sqrt(5)-2) is 5sqrt(2)+2sqrt(10)