MATHEMATICS MIDDLE SCHOOL

I Need Help PLease!Ashton estimates the square root of 72 in the following way:
√72=
2√36=
2×6=12
Explain why his reasoning is incorrect.
Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.
Answer:

Answers

Answer 1
Answer:

Answer:

\sqrt {72} = 6\sqrt 2

Step-by-step explanation:

Ashton estimates the square root of 72 in the following way:

√72=

2√36=

2×6=12

a) Explain why his reasoning is incorrect

This is incorrect because \sqrt2 * 6 is the correct answer but he has missed the square root term on 2.

=\sqrt {2^2X2X3^2 }

=\sqrt {2^2} \sqrt 2 \sqrt {3^2 }

=2 X \sqrt 2 X 3

= \sqrt 2 X 6

or can be written as:

= 6\sqrt 2

b) Estimate the square root of 72 to the nearest tenth without using your calculator. Show your work.

Find the factors of 72 we get \sqrt {2X2X2X3X3 }  

Now, we will combine 2 terms if the are same so,

=\sqrt {2^2X2X3^2 }

=\sqrt {2^2} \sqrt 2 \sqrt {3^2 }

=2 X \sqrt 2 X 3

= \sqrt 2 X 6

= 6\sqrt 2

\sqrt {72} = 6\sqrt 2

Related Questions

The perimeter of Ryan's room is 576 inches. How many yards is the perimeter of Ryan's room?
How will you write 5 x 5 x 5 x 5 x 5 as an exponential expression?OA. 5x5OB. 55Oc. 545OD. 5ResetNext
show how to solve the problem 378 ×6 using place value with regrouping. explain how you knew when to regroup
6. Use the graph that shows the percent of cat ownerswho train their cats in each category. (Examples 3 and 4)a. Out of 255 cat owners, predict how manyowners trained their cat not to climb onfurniture.b, out of 316 cat owners, predict how many catowners trained their cat not to claw on furniture.Climbing onFurnitureClawingO FurnitureFightingwith otherAnimalsTraining Cats43%29%17%10 2030 40 50Percent Quick please
Help with this math problem

Which properties were applied in steps 1 and 3step 1 5(11z+6z+29)
step 3 85z+145


commutative property, then distributive property
communtative property, then identify property
associative property, then distributive property
associative property, then commutative property?

Answers

C - Associative then Distributive

Associative allows the combining of like terms (Both with variable z)
Distributive allows the 5 to distribute through

5(11z+6z+29)
5(17z+29)
5(17z)+5(29)
85z+145

Please help as much as you could help with not forcing you I really need help it's due tomorrow

Answers

do it like this, for the 1st one, 1/3 of 72, and do it for the rest.. lol

Expand and simplify these(X+6) (x+9)
(X-5) (x+2)
(X-1)(x-7)
(4x+9)(3x+8)
(3x-8)(2x-1)
(X+9) ^2(squared)
(3x+2)^2

Answers

(x+6)(x+9)=x^2+9x+6x+54=x^2+15x+54 \n\n(x-5)(x+2)=x^2+2x-5x-10=x^2-3x-10\n\n(x-1)(x-7)=x^2-7x-x+7=x^2-6x+7\n\n(4x+9)(3x+8)=12x^2+32x+27x+72=12x^2+59x+72\n\n(3x-8)(2x-1)=6x^2-3x-16x+8=6x^2-19x+8\n\n(x+9) ^2=x^2+2\cdot x\cdot9+9^2=x^2+18x+81 \n\n(3x+2)^2=(3x)^2+2\cdot3x\cdot2+2^2=9x^2+12x+4

6 divided by four sevenths

Answers

First step - make both the numbers into fractions.6/1 divided by 4/7Second step - reciprocal ( you flip the second fraction)6/1 divided by 7/4Third step - multiply6*7=421*4=442/4Fourth step - simplifySo, in this case, you change it into a mixed number, because it is an improper fraction. You do this by dividing 42 by 4 and you get 10 1/2.The answer is 10 1/2

6 tractors take 6 days to collect the harvest. Hoe long would it take for 15 tractors to do the same amount of work?

Answers

Morgen, (hoe is nederlands)

t=36/15=2.4 (days)

suppose you invest 2500 in an account paying 7.25% interest compounded annually find the balance after six years then after 25 years

Answers

y=2500(1+7.25%)^6 makes $3804.73
y=2500(1+7.25%)^25 makes $14383.76
Other Questions
What is 62.5% in two equivalent forms ?
2 to the tenth power in standard form
|-6|+|3| I really don't get it do I simply find the sum our is itsomething different plz explain
Math homework help (99 pt)