Answer: √6 × √27 = 9√2
√6 × √27
The given problem can be solved by expressing each term into individual roots and multiplying
How can we express √6?
√6 can be expressed as
√6 = √2 × √3
How can we express√27?
√27 = √(3 × 3 × 3)
√27 = √(3) ×√(3)2
√27 = 3√3
√6 × √27 = √2 × √3 × 3√3
√6 × √27 = √2 × √3 × √3 × √3 × √3
√6 × √27 = 3 × 3√2
√6 × √27 = 9√2
Answer
√6 × √27 = 9√2