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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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