7√21 × 2√2 × √42
First, let's simplify each term under the square roots:
√21 = √(3 7) = √3 √7√2 = √2√42 = √(6 7) = √6 √7
Now let's substitute these values back into the original expression:
7(√3 √7) × 2√2 × (√6 √7)
Now, multiply the numbers outside the square roots:
7 * 2 = 14
And multiply the numbers inside the square roots:
√3 √7 √6 √7 √2
Since we have pairs of the same numbers inside square roots, we can simplify the expression:
14 3 7 6 2 = 1764
So, 7√21 × 2√2 × √42 simplifies to 1764.
7√21 × 2√2 × √42
First, let's simplify each term under the square roots:
√21 = √(3 7) = √3 √7
√2 = √2
√42 = √(6 7) = √6 √7
Now let's substitute these values back into the original expression:
7(√3 √7) × 2√2 × (√6 √7)
Now, multiply the numbers outside the square roots:
7 * 2 = 14
And multiply the numbers inside the square roots:
√3 √7 √6 √7 √2
Since we have pairs of the same numbers inside square roots, we can simplify the expression:
14 3 7 6 2 = 1764
So, 7√21 × 2√2 × √42 simplifies to 1764.