To find the product of these two expressions, we multiply the numbers outside the square root together and then multiply the numbers inside the square root together.
The product of 7 and 14 is 7 * 14 = 98.
The product of square root of 6 and square root of 7 is √6 * √7 = √(6 * 7) = √42.
Therefore, the product of the two expressions in simplest radical form is 98√42.
What is the product of 7, square root of, 6, end square root7
6
and 7, square root of, 14, end square root7
14
in simplest radical form?
3 answers
give me the simplest form
Apologies for the confusion. Let's simplify the expression further.
The square root of 42 can be simplified by breaking it down into factors that include a perfect square. The factors of 42 that are perfect squares are 1, 4, and 9.
Therefore, we can rewrite the square root of 42 as the square root of (6*7) which is the same as the square root of 6 multiplied by the square root of 7.
So, 7√6 * 7√14 simplifies to 7 * √(6*7) * √14 = 7√(6*7*14) = 7√(588).
Upon further simplification, we can find that the square root of 588 is equal to the square root of (4*147), which can be written as the square root of 4 multiplied by the square root of 147.
The square root of 4 is simply 2, and the square root of 147 cannot be simplified any further.
Therefore, the simplest form of 7√6 * 7√14 is: 2 * 7 * √147 = 14√147.
The square root of 42 can be simplified by breaking it down into factors that include a perfect square. The factors of 42 that are perfect squares are 1, 4, and 9.
Therefore, we can rewrite the square root of 42 as the square root of (6*7) which is the same as the square root of 6 multiplied by the square root of 7.
So, 7√6 * 7√14 simplifies to 7 * √(6*7) * √14 = 7√(6*7*14) = 7√(588).
Upon further simplification, we can find that the square root of 588 is equal to the square root of (4*147), which can be written as the square root of 4 multiplied by the square root of 147.
The square root of 4 is simply 2, and the square root of 147 cannot be simplified any further.
Therefore, the simplest form of 7√6 * 7√14 is: 2 * 7 * √147 = 14√147.