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3 years ago

What are the steps to simplifying radical expressions?

Mathematics

1 answer:

Assoli18 [71]3 years ago

5 0

Answer:

Step 1: Find the prime factorization of the number inside the radical.

Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.

Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.

Step 4: Simplify the expressions both inside and outside the radical by multiplying.

Step-by-step explanation:

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Answer:

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3 years ago

Reduce 36/45 to lowest terms and write the denominator in the blank.

Firlakuza [10]

Answer:

4/5

Step-by-step explanation:

Step 1:

36/45 = 12/15

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3 years ago

Read 2 more answers

The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t

astraxan [27]

Answer:

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

Step-by-step explanation:

In two similar triangles:

The ratio of the areas of two triangle is equal to the square of their perimeters.

Let A and A' represents the area of two triangles and P and P' represents their perimeter.

Then they are related as:

$\dfrac{A}{A'}=\dfrac{P^2}{P'^2}$

We are given:

A=72 dm^2 , A'=50 dm^2

and P+P'=226 dm.-----------(1)

i.e. $\dfrac{72}{50}=\dfrac{P^2}{P'^2}\\\\\dfrac{36}{25}=\dfrac{P^2}{P'^2}$

on taking square root on both the side we get:

$\dfrac{P}{P'}=\dfrac{6}{5}\\\\P=\dfrac{6}{5}P'$

Now putting the value of P in equation (1) we obtain:

$\dfrac{6}{5}P'+P'=226\\\\\dfrac{6P'+5\times P'}{5}=226\\\\\dfrac{6P'+5P'}{5}=226\\\\11P'=226\times 5\\\\11P'=1130\\\\P'=\dfrac{1130}{11}=102.7272$

Hence,

P=226-102.7272=123.2727

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

6 0

3 years ago

Plz help me-7.1(z-1.1)

Elena-2011 [213]

Answer:

Step by step explanation:

$- 7.1(z - 1.1)$

Multiply each term in paranthesis by -7.1

$- 7.1 \times z - 7.1 \times ( - 1.1)$

Multiply:

$-7.1z + 7.81$

Hope this helps...

Good luck on your assignment..

6 0

3 years ago

What is 0.15x10^-2 written in scientific notation?

Arada [10]

Step-by-step explanation:

fcgfsykmcsunvdsihjiutt

6 0

3 years ago

What are the steps to simplifying radical expressions?​

What are the steps to simplifying radical expressions?