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zhuklara [117]
3 years ago
12

Please simplify this

Mathematics
1 answer:
Alika [10]3 years ago
6 0

Answer:

The answer is 4√3 - 6

Steps

(8√6mn + 6√8mn ) / 2√2mn

<u>Factor out 2√mn from the expression</u>

That's

2√mn × ( 4√6 - 3√8) / 2√2mn

<u>Next reduce the fraction with 2</u>

We have

√mn × ( 4√6 - 3√8) / √2mn

<u>Factor √2 from the denominator</u>

√mn × ( 4√6 - 3√8) / √2(√mn)

<u>√mn will cancel each other </u>

we get

( 4√6 - 3√8) / √2

<u>Simplify the radical </u><u>expression</u>

That's

( 4√6 - 3× 2√2) / √2

= ( 4√6 - 6√2) / √2

<u>Rationalize the surd</u>

We get

( 4√6 - 6√2) / √2 × (√2 / √2)

= ( 4√6 - 6√2) (√2) / (√2)²

= 4√12 - 12 / 2

= (8 √3 - 12) / 2

<u>Factor out 2 from the numerator</u>

That's

2( 4 √ 3 - 6 ) /2

2 will cancel each other

so the final answer will be

4√3 - 6

Hope this helps you

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7 0
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Wittaler [7]

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Using this let us find out the measure of x .

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3 years ago
Find the first term and the common ratio <br>third term =6 and seventh term= 96​
mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: a_n= a_1r^{n-1}

We are given: third term = 6 i,e

a_3=a_1r(3-1)\\6=a_1r^2----eq(1)

Seventh term = 96

a_7=a_1r(7-1)\\96=a_1r^6----eq(2)

Dividing eq(2) and eq(3)

\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}

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3 years ago
lee packed 2 sweatshirts and 6 t shirts in her suitcase. Which ration doe not represent the number of sweatshirts to the number
aleksley [76]

Answer: c

Step-by-step explanation:

The ratio is not 3:1

7 0
3 years ago
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