What is the following product? 3 sqr 24 times 3 sqr 45

The answer is 54√30

Step-by-step explanation:

3√24 × 3√45

= 3√(6×4) × 3√(9×5)

= (3×2)√6 × (3×3)√5

= 6√6 × 9√5

= 54√30

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct