All categories

3 years ago

Simplify. √20 * √3 * √18 5√10 6√10 5√30 6√30

Mathematics

1 answer:

natulia [17]3 years ago

8 0

Answer:

D: 6√30

Step-by-step explanation:

Simplify the following:

sqrt(20) sqrt(3) sqrt(18)

sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):

sqrt(20) sqrt(3)×3 sqrt(2)

sqrt(20) = sqrt(2^2×5) = 2 sqrt(5):

2 sqrt(5) sqrt(3)×3 sqrt(2)

2×3 = 6:

6 sqrt(5) sqrt(3) sqrt(2)

sqrt(5) sqrt(3) sqrt(2) = sqrt(5×3×2):

6 sqrt(5×3×2)

5×3 = 15:

6 sqrt(15×2)

15×2 = 30:

Answer: 6 sqrt(30)

You might be interested in

In finding the product of (x+2) (x+3) using the FOIL METHOD, what is the LAST step? *

klemol [59]

Answer:

Last step of FOIL: Multiply 2 from the first binomial with 3 from the second binomial.

simplify: a? should be 25x^(6)y^(6)

Step-by-step explanation

6 0

3 years ago

Identify the property used in each step of solving the inequality 3x – 2 > -4.

jasenka [17]

Answer:

2) is addition property

3) is multiplication property

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Help help help it is simple one

algol [13]

Answer:

$3^{ -x+3}$

Step-by-step explanation:

We need to simplify out the given exponential expression . The given expression to us is ,

$\rm\implies \dfrac{\dfrac{1}{3}}{3^{x-4}}$

We can use the Law of Exponents to simplify the given expression . Recall that ,

$\rm\implies \red{\dfrac{a^m}{a^n}= a^{m-n}}$

Note that , we can write ,

$\rm\implies \dfrac{1}{3}= 3^{-1}$

Therefore our expression becomes ,

$\rm\implies \dfrac{ 3^{-1}}{3^{x-4}}$

Simpify using the Law of Exponents ,

$\rm\implies 3^{ -1 - ( x - 4 )}$

Open the brackets in exponent ,

$\rm\implies 3^{ -1 - x +4 }$

Simplify to get final expression ,

$\rm\implies \boxed{\quad \blue{ 3^{-x+3} \quad}}$

5 0

3 years ago

Find the output, y, when the input, , is -1. Y =

kozerog [31]

Answer:

To find output add 1.5 to every input number. Hopefully this helps

Step-by-step explanation:

4 0

3 years ago

Suppose the temperature outside is dropping 3 degrees each hour how much will the temperature drop in 8 hours

vovikov84 [41]

It would drop by 24 degrees

3 x 8 = 24

For each hour another long way is simple just do

3 x 4 = 12 now just double it
12 + 12 = 24

6 0

4 years ago