What is 5sqrt(12)-8sqrt(12) ?

The solution to 5sqrt(12)-8sqrt(12) is -6sqrt(3)

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simplify 5sqrt(12)-8sqrt(12)

simplify

512 - 812

- 63

Solution steps

512 - 812

Add similar elements:

512 - 812 = - 312

= - 312

Prime factorization of

12 : 2^{2} \cdot 3

= - 3 2^{2} \cdot 3

Apply radical rule:

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

2^{2} \cdot 3 = 2^{2} 3

= - 3 2^{2} 3

Apply radical rule:

a^{2} = a, a \geq 0

2^{2} = 2

= - 3 \cdot 23

Multiply the numbers:

- 3 \cdot 2 = - 6

= - 63

\frac{7}{3} + \frac{5}{4}

\frac{2}{3} \div \frac{4}{6}

4 ab - 2 b - 3 (ab + 1) - 2 b

\frac{x ^{2} + 1}{x ^{2} + 1}

8 1^{- 0.25}