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1 year ago

Distribute and simplify the radicals below.

Mathematics

1 answer:

erastovalidia [21]1 year ago

8 0

The simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

<h3>How to simplify the radical?</h3>

The expression is given as:

(√12+6)(-√8-√2)

Factor out -1

(√12+6)(-√8-√2) = -(√12+6)(√8+√2)

Expand the expression

(√12+6)(-√8-√2) = -(√96 + 6√8 + √24 + 6√2)

Evaluate the radicals

(√12+6)(-√8-√2) = -(4√6 + 12√2 + 2√6 + 6√2)

Evaluate the like terms

(√12+6)(-√8-√2) = -(6√6 + 18√2)

Open the bracket

(√12+6)(-√8-√2) = -6√6 - 18√2

Hence, the simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2

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2 years ago

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2 years ago

(-2.05) - (-5)<br> explain and show how u did this

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2 years ago

Read 2 more answers

Consider an experiment in which a marble is tossed into a box whose base is shown in the figure. The probability that the marble

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Answer:

x = 2

Step-by-step explanation:

Probability that the marble comes to rest in the shaded region is equal to the ratio of the shaded area to the total area.

Probability 'P' = $\frac{A'}{A}$

Area of the shaded region (A')= (x + 1)(x + 2)

Total area of the figure (A) = (2x + 1)(3x + 2)

P = $\frac{(x+1)(x+2)}{(2x+1)(3x+2)}=\frac{3}{10}$

10(x + 1)(x + 2) = 3(2x + 1)(3x + 2)

10(x² + 3x + 2) = 3(6x² + 7x + 2)

10x² + 30x + 20 = 18x² + 21x + 6

(18x² - 10x²) + (21x - 30x) + (6 - 20) = 0

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x = $\frac{9\pm\sqrt{(-9)^2-4(8)(-14)} }{2(8)}$

x = $\frac{9\pm \sqrt{81+448}}{16}$

x = $\frac{9\pm 23}{16}$

x = - $\frac{7}{8}, 2$

Therefore, positive value of x = 2 will be the answer.

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2 years ago