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nignag [31]
3 years ago
12

Sqrt45a^5 simplified

Mathematics
1 answer:
Anestetic [448]3 years ago
8 0

\sqrt{45a^5}

[scomposition of 45]

\sqrt{9*5*a^5}

[9 = 3^2, must use this notation (not 3*3)]

\sqrt{3^2*5*a^5}

[We appy one of the proprieties of square roots]

\sqrt{3^2}* \sqrt{5}*\sqrt{a^5}

[now we semplify: we must take out as much as possible all the elements under roots]

[to do that, we must divide the esponent of each element with the index of square roots (2)]

so

\sqrt{3^2}, 2/2 = 1

\sqrt{5}, 1/2 = 0 with 1 of rest

\sqrt{a^5}, 5/2 = 2 with 1 rest

[well, after do that, we can take out the elements under tbhe square roots!]

The quotient of each division is the esponent of the element out of the root

The rest of each division is the esponent of the element under the root

so:

3^{1} (quotient = 1, see the first operation) * \sqrt{5} (rest = 1, see the second operation) * a^{2} (quotient = 2, see the third operation) * \sqrt{a^1} (rest = 1, see the third operation)

The final result is:

3 (=3^1) * a² * √5 * √a

3a²√5a

It's more intuitive and easy, but the explanation (necessary) is very long. If you have other questions, ask me here in the comments! Also sorry for my english, not so good!

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Please I need help asap!!
Solnce55 [7]

Answer:

B

Step-by-step explanation:

Hi there!

We're given the measure of <AOC (the big angle) as 90°

and the measure of <BOC as 14° and the measure of <AOB as (3x+46)°

we want to find the value of what x is

because of angle addition postulate, m<AOC=m<BOC+m<AOB

so we can substitute our known values into that equation

90°=14°+3x°+46°

our goal is to isolate the variable of x onto one side

add 14 and 46 together

90°=3x°+60°

subtract 60° from both sides

30°=3x°

divide both sides by 3

10°=x

therefore B is your answer

Hope this helps!

7 0
3 years ago
PLZ PLZ HALP!!
bogdanovich [222]

Answer:

(A) - (5)

(B) - (4)

(C) - (1)

(D) - (2)

Step-by-step explanation:

(A) We are given the polynomial (x+4)(x−4)[x−(2−i)][x−(2+i)]

(5) The related polynomial equation has a total of four roots; two roots are complex and two roots are real.

(B) We are given the polynomial (x+i)(x−i)(x−2)³(x−4).

(4) The related polynomial equation has a total of six roots; two roots are complex and one of the remaining real roots has a multiplicity of 3.

(C) We are given the polynomial (x+3)(x−5)(x+2)²

(1) The related polynomial equation has a total of four roots; all four roots are real and one root has a multiplicity of 2.

(D) We are given the polynomial (x+2)²(x+1)²

(2)  The related polynomial equation has a total four roots; all four roots are real and two roots have a multiplicity of 2. (Answer)

8 0
3 years ago
How do you do this problem??
ELEN [110]
It is a.
You multiply 9.3 and 2.5 together and get 23.25
Then just add the exponents 6+3 is 9
So the answer is 23.25 x 10^9
Hope this helps!!
7 0
2 years ago
Jacque needs to buy some pizzas for a party at her office. She’s ordering from a restaurant that charges a $7.50 delivery fee an
Shalnov [3]

Lets answer the information by making it look like a budget subtraction:

60 = Total

1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.

60 - 7.50 = 52.50

2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.

52.50 - 14 = 38.50  Pizza 1

38.50 - 14 = 24.50  Pizza 2

24.50 - 14 = 10.50  Pizza 3

Now, theres not enough to buy another.

So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.

3. Multiply the number of slices by the number of pizzas.

8 x 3 = 24

So, the largest number is 24 slices.

4 0
3 years ago
What is the answer Factorise: 2x² +7x+6.<br><br>​
Mila [183]

Answer:

2x  + 3 )(x   + 2 )

Step-by-step explanation:

2x² + 7x + 6          

Find two numbers multiplied together to get 6

and if you multiply one by 2, the answer is 7:

Tested:                                  

6 & 1  but 6 · 2 + 1 = 13 or 6 + 2 · 1  = 8 No

2 & 3  and 2 · 2 + 3 = 7    Yes

2x² = 2x  & x

 all signs are positive

   trinomial  factoring  (            )(            )

                                     (     +     )(      +    )

    2 and 3 are the numbers to use    (2x  + 3 )(x   + 2 )   or     (2x + 2) (x + 3)

The largest number goes with the 2x.

Therefore (2x  + 3 )(x   + 2 )

Check 2x(x + 2) + 3(x + 2)

              2x² + 4x + 3x + 6

              2x² + 7x + 6         checked                            

7 0
2 years ago
Read 2 more answers
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