Simplify the square root of 125

Answers

Answer 1
Answer:

The value of the expression √125 will be 5√5.

We can first represent 125 as the product of its prime components in order to simplify the square root of that number. 5 x 5 x 5 is the prime factorization of 125. The quantity that, when multiplied by itself, equals 125 is known as the square root of 125. We may claim that the square root of 125 is 5√5, as 5 x 5 = 25, and 25 x 5 = 125.

Using the principle that the square root of a perfect square is the number itself, we may further reduce the square root of 125. Since 25 is a perfect square in this instance, its square root is just 5. Therefore, 5 √5 may also be used to represent the square root of 125.

More about the Algebra link is given below.

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Answer 2
Answer: Hello,

as 125=5^3
√125=5√5

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What is the discriminant in the quadratic equation x2 + 11x + 121 = x + 96? A. 0 B. 100 C. 20 D. 200
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What is the answer for this

Answers

Answer:

bvcnfghnh

Step-by-step explanation:

gfhtfv

12 diminished by 6 times a number( which one is correct)1. 12-6n

2. 6n-12

3. 12n-6

Answers

number one is right. dimished means to make smaller. so 12-6n is right.
12 - 6n .....diminished means subtract

A midwestern music competition awarded 35 ribbons. The number of blue ribbons awarded was 3 less than the number of white ribbons. the number of red ribbons was 2 more than the number of white ribbons. How many of each kind of ribbon was awarded....white?, blue?, red?

Answers

35 total ribbons

x = white ribbons
x-3 = blue ribbons
x+2 = red ribbons

35= x+x-3+x+2
35= 3x -1
36 =3x
12 = x
12 white ribbons
9 blue ribbons
14 red ribbons

12+14+9 = 35 
White 12
Blue 9
Red 14
I did it without paper so I'm not sure but it works :D

13) v2 - 110 + 18 = 0
14) 5x7 - 12x +7 = 0
Solve by factoring

Answers

Answer:

see explanation

Step-by-step explanation:

(13)

v² - 11v + 18 = 0 ← in standard form

(v - 2)(v - 9) = 0 ← in factored form

Equate each factor to zero and solve for v

v - 2 = 0 ⇒ v = 2

v - 9 = 0 ⇒ v = 9

solutions are v = 2, v = 9

(14)

5x² - 12x + 7 = 0

Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 5 × 7 = 35 and sum = - 12

The factors are - 5 and - 7

Use these factors to split the x- term

5x² - 5x - 7x + 7 = 0 ( factor the first/second and third/fourth terms )

5x(x - 1) - 7(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(5x - 7) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

5x - 7 = 0 ⇒ 5x = 7 ⇒ x = (7)/(5)

solutions are x = 1, x = (7)/(5)

Solve for X:
-2(x+2) < 14

Answers

Answer:

x >-9

Step-by-step explanation:

-2 ( x + 2 ) < 14

Step 1 :- Distribute -2 .

-2x -4 < 14.

Step 2 :- Move constant to the right-hand side and change their sign . And flip the inequality sign.

-2x > 14 + 4

Step 3 :- Add 14 and 4.

-2x > 18

Step 4 :- Divide both side by -2.

-2x / - 2 > 18 / -2

x = -9

Answer:

I think the correct answer is

X<-9

The windows of a downtown office building are arranged so that each floor has six fewer windows than the floor below it. If the ground floor has 52 windows, how many total windows are on the first eight floors?

Answers

The ground floor:  52 windows.
We will use the arithmetic sequence:
a 1 = 52
d = - 6
a n = a 1 + ( n - 1 ) d
a 8 = a 1 + 7 d
a 8 = 52 + 7 * ( - 6 ) = 52 - 42 = 10
S n = n/2 * ( a 1 + a n )
S 8 = 8/2 * ( 52 + 10 ) = 4 * 62 = 248
Answer:
There are 248 windows on the first eight floors.