What is the square root of 864

Answers

Answer 1

Answer:

There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.

The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.

Find the prime factorization of 864:

$√(864) = √(2 \cdot 2 \cdot 2 \cdot 2 \cdot 2 \cdot 3 \cdot 3 \cdot 3)$

Take any number that is repeated twice in the square root, and move it outside of the root:

$√(864) = √((2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3)$

$√(2 \cdot 2) = √(4) = 2$

$√(3 \cdot 3) = √(9) = 3$

$√((2 \cdot 2) \cdot (2 \cdot 2) \cdot 2 \cdot (3 \cdot 3) \cdot 3) = √((4) \cdot (4) \cdot 2 \cdot (9) \cdot 3)$

$√((4) \cdot (4) \cdot 2 \cdot (9) \cdot 3) = (2 \cdot 2 \cdot 3) √(2 \cdot 3) = \boxed{12 √(6)}$

The simplified form of √864 will be 12√6.

The second method is evaluating the root. Using a calculator, we can find the exact value of √864.

Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.

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Find PR. PLSSS HELP BRAINLIEST Pls..

Answers

Answer:

PR = 6.9

Step-by-step explanation:

From the diagram, the following were obtained:

Hypo = 10

Opp = PR

Sin0 = 44°

Sin0 = opp /Hypo

Sin44° = PR/10

Cross multiply

PR = 10 x Sin44°

PR = 6.9

Answer:

sin44 = PR÷PQ = 0.694÷1 × X÷10 = X = 6.94

A square tabletop is 5 feet long on each side. Kevin wants to tile the tabletop. how much tile does he need to cover the tabletop.

Answers

5 feet multiplied my 5 feet equals 25 feet
Sorry if my answer might be incorrect

25 square feet if u need steps how i did please tell me =) hope this helps

1.Find the exact solution to the equation.(2 points)

log base four of x equals two.

Answers

Answer:

x = 16

Step-by-step explanation:

The equation is $\log_(4) x = 2$

Now, converting this logarithmic equation into exponential equation, we get

$x = 4^(2) = 16$ (Answer)

Alternate solution:

Given, $\log_(4) x = 2$

⇒ $\log_(4)x = 2\log_(4)4$

{Since, we know that $\log_(a)a = 1$ }

⇒ $\log_(4)x = \log_(4)4^(2) = \log_(4)16$

{Since, $a\log b = \log b^(a)$ is a property of logarithm}

Cancelling log from both sides we get,

⇒ x = 16 (Answer)

Answer:

$x = 8^4$

Step-by-step explanation:

hey there,

< Here is what is given:

㏒ $_(8) x=4$

There's actually a lot of different ways you can remember this but the way I remember this is x is equal to 2nd to the power of last.

So 8 is the 2nd (since log is first), 4 is last (very last thing in the equation).

x = 8^4

You can use any of your own ways to remember this, but this is just my personal way. :) >

Hope this helped! Feel free to ask anything else.

Hank has a board 1.75 meters long.He used 0.8 meter to build the walls of a birdhouse.He used 0.4 of what is left for the floor.He needs 0.6 meter for the roof.Does he have enough wood for the roof? EXPLAIN

Answers

He doesn't have enough wood for the roof explanation: If you subtract 0.8 from 1.75 that 0.95 if you then subtract 0.4 from 0.95 you get 0.55 so you can't subtract the last one 'cause if you do you'll get -0.05.

What number is a multiple of 4/5

Answers

The multiple of 4/5 is 1

How do you write 8.007 in word form

Answers

Eight and seven thousandths is the answer in word form

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12.54 greater than less than or equal to 1.254

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