Learn to rationalize the denominator with a monomial as the denominator ex 6

The video tutorial demonstrates how to simplify a radical expression by rationalizing the denominator. It begins with rewriting radicals to simplify them, then explains the process of rationalizing the denominator by multiplying by a suitable expression. The tutorial concludes with the final simplification of the expression, emphasizing the importance of understanding the multiplication of exponents and the use of prime factorization.

What is the first step in simplifying a radical expression before rationalizing the denominator?

• Divide the radicals by a common factor

• Add the exponents of the radicals

• Simplify each radical individually

• Multiply the numerator and denominator by the same radical

How can the expression sqrt(m^3) be rewritten for simplification?

• m^3

• sqrt(m^2 * m)

• m * sqrt(m)

• sqrt(m^2) * sqrt(m)

What is the result of multiplying two radicals with the same base?

• The difference of the radicands

• The product of the radicands

• The sum of the radicands

• The quotient of the radicands

What is the purpose of multiplying the numerator and denominator by the same expression when rationalizing the denominator?

• To increase the value of the expression

• To eliminate the radical in the denominator

• To simplify the numerator

• To change the base of the radicals

What is the final simplified form of the expression after rationalizing the denominator?

• M * sqrt(2P) / 4

• M * sqrt(2PM) / 2P

• M * sqrt(2PM) / 4P

• M * sqrt(PM) / 2P