Find the positive square roots of the following numbers, giving your answers in prime factorization form

Hello from MrBillDoesMath!

prime factorization of sqrt( 5^4 x 7^2)   =  (5^2) *7

prime factorization of sqrt(2^6 x 11^10)   =  (2^3) * (11^5)

Discussion:

sqrt( 5^4 x 7^2)  = 5^2 * 7    => as 5 and 7 are prime numbers

prime factorization = 5^2 *7

sqrt(2^6 x 11^10)  = 2^3 * 11^5   => as 2 and 11 are prime numbers

prime factorization = 2^3 * 11^5

Thank you,

MrB

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

step-by-step explanation: