Question

√2+√3/√18−√12 = a-b √6

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

For the expression ( √2 + √3) ÷ ( √18 - √12 ) = a - b √6, we have:

a = 2 and b = 5 / 6 √6.

Step-by-step explanation:

We have the expression:

( √2 + √3) ÷ ( √18 - √12 )

We can write it as:

( √2 + √3) ÷ ( 3√2 - 2√3 )

Rationalizing the denominator:

= ( √2 + √3) ÷ ( 3√2 - 2√3 )    ×    ( 3√2 + 2√3 ) ÷ ( 3√2 + 2√3 )

= (6 + 2√6 + 3√6 + 6) ÷ ( 18 - 12)

= (12 + 5√6) ÷ 6

= 2 + 5/6 √6

Comparing it from a - b √6, we get that:

a = 2 and b = 5 / 6 √6.

Therefore, we get that a = 2 and b = 5 / 6 √6.

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