What is sqrt(5)(sqrt(2)+4sqrt(2)) ?

The solution to sqrt(5)(sqrt(2)+4sqrt(2)) is 5sqrt(10)

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simplify sqrt(5)(sqrt(2)+4sqrt(2))

simplify

5 (2 + 42)

510

Solution steps

5 (2 + 42)

Add similar elements:

2 + 42 = 52

= 5 \cdot 52

Apply radical rule:

a b = ab, a \geq 0, b \geq 0

52 = 5 \cdot 2

= 5 \cdot 2 \cdot 5

Multiply the numbers:

5 \cdot 2 = 10

= 10 \cdot 5

= 510

- 4 < 2 (x - 3) \leq 4

5 (x + 2) = 3 (2 x - 3)

- 5 n + 6 \geq - 7 (5 n - 6) - 6 n

x^{2} - 42 = - x

\frac{4}{x + 2} < 0

What is sqrt(5)(sqrt(2)+4sqrt(2)) ?
The solution to sqrt(5)(sqrt(2)+4sqrt(2)) is 5sqrt(10)