Question

Q}simplify by rationalizing the denominator
2√6÷√2+√3+6√2÷√6+√3-8√3÷√6+√2​

Answer 1

Answer:

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Answer 2

Answer:

6√3 - 3√2

Step-by-step explanation:

2√6÷√2+√3+6√2÷√6+√3-8√3÷√6+√2

= 2√3 + √3 + 6/√3 + √3 - 8/√2 + √2

= (2√3 *√6 + √3*√6 + 6*√2 + √3*√6 - 8*√3 + √2*√6) / √6

= (2√18 + √18 + 6√2 + √18 - 8√3 + √12 ) / √6

= (4√18 + 6√2 - 8√3 + √12 ) / √6

= (12√2 + 6√2 - 8√3 + 2√3 ) / √6

= (18√2 - 6√3) / √6

= (18√2 - 6√3) / √6  *  √6/√6       (Multiply and divide by √6)

= (18√12 - 6√18) / 6

= 3√12 - √18

= 6√3 - 3√2