What is (2sqrt(2)+sqrt(3))*5+(sqrt(8)-3sqrt(8)) ?

The solution to (2sqrt(2)+sqrt(3))*5+(sqrt(8)-3sqrt(8)) is 6sqrt(2)+5sqrt(3)

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simplify (2sqrt(2)+sqrt(3))*5+(sqrt(8)-3sqrt(8))

simplify

(22 + 3) \cdot 5 + (8 - 38)

62 + 53

Decimal Notation

17.14553 \dots

Solution steps

(22 + 3) \cdot 5 + (8 - 38)

Apply rule:

a + (b + c) = a + b + c

(22 + 3) \cdot 5 + (8 - 38) = (22 + 3) \cdot 5 + 8 - 38

= (22 + 3) \cdot 5 + 8 - 38

Add similar elements:

8 - 38 = - 28

= (22 + 3) \cdot 5 - 28

28 = 42

= (22 + 3) \cdot 5 - 42

= 5 (22 + 3) - 42

Expand

5 (22 + 3) : 102 + 53

= 102 + 53 - 42

Add similar elements:

102 - 42 = 62

= 62 + 53

(\frac{1}{2})^{2} + x^{2} = 1

9 x^{2} - 4 x - 2 = 0

4 + x - 4 (1 - x) + 5 (2 + x) = 0

4 x (3 x - 7) = 5

\frac{w ^{2}}{8} - \frac{w}{2} - 4 = 0

What is (2sqrt(2)+sqrt(3))*5+(sqrt(8)-3sqrt(8)) ?
The solution to (2sqrt(2)+sqrt(3))*5+(sqrt(8)-3sqrt(8)) is 6sqrt(2)+5sqrt(3)