Square root of 24x^6y^9

Mathematics

1 answer:

nikklg [1K]3 years ago

8 0

Answer:

Step-by-step explanation:

Break the expression into individual pieces

24 can be written as (4)(6)

x^6 can be written as (x^3)^2

y^9 can be written as (y^4)^2(y)

Notice in the variables the focus on writing to the power of 2.

Square root and power of 2 are essentially inverse operations of each other, so they cancel each other out.

The square root of 4 is 2

The square root of (x^3)^2 is x^3

The square root of (y^4)^2 is y^4

The remaining 6 and y stay underneath the square root.

The final answer is then (2x^3y^4)(square root 6y)

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8 0

3 years ago

Read 2 more answers

HELP PLEASE THANK YOU! :) 50 POINTS !!!!!!!1

a_sh-v [17]

Answer: 0.88

Step-by-step explanation:

Let C is the event of drinking coffee, T is the event of drinking tea and M is the event of drinking milk.

Thus, when we make the Venn diagram of the given situation according to the given information,

Total number of people = 50

Number of people who like coffee, tea and milk = 19

Number of people who like coffee, tea but not milk = 16

Number of people who like coffee, milk but not tea = 2

Number of people who like tea, milk but not coffee = 5

Thus, the number of people who like tea only = Total people - (people who like coffee, tea but not milk + people who like coffee, tea and milk + the one who only like tea and milk but not coffee)

= 50 - ( 16 + 19 + 5) = 50 - 46 = 4

Thus, Total number of the person who like milk = 16 + 19 + 5 + 4 = 44

⇒ Probability that this person likes tea = $\frac{\text{ Total person who like to drink milk}}{\text{ Total number of people}}$ = $\frac{44}{50} = 0.88$