Question

when written with a rational denominater , the expression 3√2/2√3 can be simplified as

Answer 1

Answer:

√6/2

Step-by-step explanation:

3√2/2√3

rationalizing denominator by multiplying 2√3 in numerator and denominator

3√2 × 2√3 / 2√3 × 2√3

∵ 3√2 × 2√3 ⇔ 3 × √2 × 2 × √3 ⇒ 3 × 2 × √2 × √3

∵ √2 and √3 have same power i.e. 1/2

∴ √2 × √3 = √6

∴ 3 × 2 × √2 × √3 ⇔ 6√6 (and same for denominator)

= 6√6/4 × 3

= 6√6 / 12 = √6/2

Answer 2

Answer:

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