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____ [38]
2 years ago
13

What is the simples form of the the following expression? 2 square root 18 + 3 square root 2 + square root 162

Mathematics
1 answer:
Nataliya [291]2 years ago
6 0

Answer:

18 sqrt(2)

Step-by-step explanation:

Simplify the following:

2 sqrt(18) + 3 sqrt(2) + sqrt(162)

sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):

2×3 sqrt(2) + 3 sqrt(2) + sqrt(162)

2×3 = 6:

6 sqrt(2) + 3 sqrt(2) + sqrt(162)

sqrt(162) = sqrt(2×3^4) = 3^2 sqrt(2):

6 sqrt(2) + 3 sqrt(2) + 3^2 sqrt(2)

3^2 = 9:

6 sqrt(2) + 3 sqrt(2) + 9 sqrt(2)

Add like terms. 6 sqrt(2) + 3 sqrt(2) + 9 sqrt(2) = 18 sqrt(2):

Answer:  18 sqrt(2)

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If we let pi = 3.14 and r = 1 cm, then the circumference of this circle is

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2x^3-3x^2-11x+6 divide by x-3
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Step-by-step explanation:

You can do long division, which is very very hard to show with typing on a keyboard. You essentially want to divide the leading coefficient for each term. Ill try my best to explain it.

Do \frac{2x^3}{x}=2x^2. Write 2x^2 down. Now multiply (x - 3) by it. Then subtract it from the trinomial.

2x^2*(x-3)=2x^3 -6x^2\\(2x^3 -3x^2-11x+6)-(2x^3-6x^2) = 3x^2-11x+6

Now do \frac{3x^2}{x} =3x. Write that down next to your 2x^2. Multiply 3x by (x - 3) to get:

3x(x-3)=3x^2-9x\\(3x^2-11x+6)-(3x^2-9x)=-2x+6

Your final step is to do \frac{-2x}{x} =-2. Write this -2 next to your other two parts

Multiply -2 by (x - 3) to get:

-2(x-3)=-2x+6\\(-2x+6)-(-2x+6)=0

Our remainder is 0 so that means (x - 3) goes into that trinomial exactly:

2x^2+3x-2 times

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D. 51 = 3 × 17; not prime

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