Simplify:(picture) and please show your work so that i can understand how to simplify. thanks

Mathematics

2 answers:

Gala2k [10]4 years ago

4 0

The answer is 100x2 because 20x5= 100 and the power of 2 is alone, so that’s the answer.

MArishka [77]4 years ago

3 0

√20x *√5x3 - We can involve the action under the square root, because we have a multiplication of two square root elements.

$\sqrt{20x*5x^{3}} = \sqrt{20*5 x^{4} } = \sqrt{100} *x^{2} = 10x^{2}$

We are using the fact, that the multiplication of the square roots is alternating.

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12 2/3 ^ 2 1/3what is 12 2/3 divided by 2 1/3

Semmy [17]

Answer:

(12 2/3)/( 2 1/3)= 38/7 or 5 3/7 or 5.43 decimal

Step-by-step explanation:

Simplify the following:

(12 + 2/3)/(2 + 1/3)

Put 2 + 1/3 over the common denominator 3. 2 + 1/3 = (3×2)/3 + 1/3:

(12 + 2/3)/((3×2)/3 + 1/3)

3×2 = 6:

(12 + 2/3)/(6/3 + 1/3)

6/3 + 1/3 = (6 + 1)/3:

(12 + 2/3)/((6 + 1)/3)

6 + 1 = 7:

(12 + 2/3)/(7/3)

Put 12 + 2/3 over the common denominator 3. 12 + 2/3 = (3×12)/3 + 2/3:

((3×12)/3 + 2/3)/(7/3)

3×12 = 36:

(36/3 + 2/3)/(7/3)

36/3 + 2/3 = (36 + 2)/3:

((36 + 2)/3)/(7/3)

36 + 2 = 38:

(38/3)/(7/3)

Multiply the numerator by the reciprocal of the denominator, (38/3)/(7/3) = 38/3×3/7:

(38×3)/(3×7)

(38×3)/(3×7) = 3/3×38/7 = 38/7:

Answer: 38/7

8 0

3 years ago

8,264 is divisible by 3? True or false?

mars1129 [50]

$Number\ is\ divisible\ by\ 3\ if\ the\ sum\ of\ the\ digits\ is\ divisible\ by\ 3.\\\\8,264\\\\8+2+6+4=20-
is\ not\ divisible\ by\ 3.\\\\8,264\ is\ divisible\ by\ 3-FALSE$