Understanding Square Roots and Inverses

The video tutorial explains the concept of square roots and their inverses. It begins with a review of what a square root is, followed by methods to find the inverse of square roots. Three methods are discussed: multiplying by the square root, squaring both sides, and using rational exponents. The tutorial concludes with a summary and a preview of the next video, which will include examples of using the inverse of square roots.

What is the definition of a square root?

• A number that when added to itself equals the original number.

• A number that when divided by itself equals the original number.

• A number that when multiplied by itself equals the original number.

• A number that when subtracted from itself equals the original number.

If the square root of X is equal to n, what is X equal to?

• n / n

• n * n

• n - n

• n + n

What is the definition of a square root?

• A number that when added to itself equals the original number.

• A number that when multiplied by itself equals the original number.

• A number that when subtracted from itself equals the original number.

• A number that when divided by itself equals the original number.

If the square root of X is equal to n, what is X equal to?

• n * n

• n - n

• n / n

• n + n

What is the first step in finding the inverse of a square root by multiplication?

• Divide both sides by the square root.

• Multiply both sides by the square root.

• Subtract the square root from both sides.

• Add the square root to both sides.

What happens when you multiply the square root of X by itself?

• You get X.

• You get zero.

• You get the square root of X.

• You get X squared.

How can you cancel out the square root symbol?

• By subtracting the square root from itself.

• By dividing it by the square root of itself.

• By multiplying it by the square root of itself.

• By adding the square root to itself.

What is the result of multiplying the square root of X by itself?

• X squared

• X

• The square root of X

• Zero

What is the first step in finding the inverse of a square root by multiplication?

• Multiply both sides by the square root.

• Add the square root to both sides.

• Divide both sides by the square root.

• Subtract the square root from both sides.

What is another method to find the inverse of a square root?

• Adding both sides.

• Subtracting both sides.

• Squaring both sides.

• Dividing both sides.