What is 3sqrt(12mn)-sqrt(12mn)+4sqrt(12mn) ?

The solution to 3sqrt(12mn)-sqrt(12mn)+4sqrt(12mn) is 12sqrt(3)sqrt(m)sqrt(n)

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simplify 3sqrt(12mn)-sqrt(12mn)+4sqrt(12mn)

simplify

3 12 mn - 12 mn + 4 12 mn

123 m n

Solution steps

3 12 mn - 12 mn + 4 12 mn

Add similar elements:

3 12 mn - 12 mn + 4 12 mn = 6 12 mn

= 6 12 mn

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

12 mn = 12 mn

= 612 mn

Apply radical rule:

ab = a b,

assuming

a \geq 0, b \geq 0

mn = m n

= 612 m n

12 = 23

= 6 \cdot 23 m n

Multiply the numbers:

6 \cdot 2 = 12

= 123 m n

x - 4 \leq 13

6^{- 2}

\frac{x + 2}{x - 2} \leq 0

\frac{2 x + 7}{3} < 5

(3 - i) (1 + i)

What is 3sqrt(12mn)-sqrt(12mn)+4sqrt(12mn) ?
The solution to 3sqrt(12mn)-sqrt(12mn)+4sqrt(12mn) is 12sqrt(3)sqrt(m)sqrt(n)