Learn how to simplify the product of square root of two numbers ex 4, -3root(12).root(7)

The video tutorial demonstrates how to simplify a radical expression involving multiplication. It begins by explaining the multiplication of radicals and the importance of simplifying them first. The instructor then shows how to break down radicals using perfect squares, focusing on the example of multiplying -3 times sqrt 12 times sqrt 7. The process involves rewriting 12 as 4 times 3, simplifying sqrt 4 to 2, and then multiplying the simplified terms to get the final result of -6 times sqrt 21.

What is the rule for multiplying two square roots?

• Subtract the numbers inside the square roots.

• Multiply the numbers inside the square roots and take the square root of the result.

• Add the numbers inside the square roots.

• Multiply the numbers outside the square roots only.

Why is it important to find the largest perfect square factor when simplifying radicals?

• It changes the radical into a decimal.

• It makes the radical expression longer.

• It allows the radical to be expressed as an integer.

• It helps in converting the radical into a fraction.

What is the largest perfect square factor of 12?

• 4

• 2

• 3

• 6

After simplifying sqrt(12) to 2 * sqrt(3), what is the next step in simplifying the expression -3 * sqrt(12) * sqrt(7)?

• Multiply -3 by 2.

• Multiply 2 by sqrt(7).

• Multiply -3 by 7.

• Multiply sqrt(3) by sqrt(7).

What is the final simplified form of -3 * sqrt(12) * sqrt(7)?

• -3 * sqrt(84)

• -3 * sqrt(21)

• -6 * sqrt(84)

• -6 * sqrt(21)