11 grade maths others
sqrt(6) multiplied with sqrt(27) is equal to.
sqrt(6) multiplied with sqrt(27) is equal to.
1 Answer
Askiitians Tutor Team
To multiply two square roots together, you can simply multiply the numbers inside the square roots. In this case:
√6 * √27 = √(6 * 27)
Now, you can calculate the product inside the square root:
√(6 * 27) = √162
To simplify the square root further, you can find the prime factors of 162 and take out pairs of the same prime factors from under the square root:
162 = 2 * 3 * 3 * 3 * 3
Now, pair up the prime factors:
√(2 * 3 * 3 * 3 * 3) = √(2 * 3^2 * 3^2) = √(2 * (3^2)^2) = √(2 * 9^2) = √(2 * 81) = √(162)
So, √6 * √27 = √162, which simplifies to 9√2.
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