Algebra 1 - Simplifying Expression

Question

Simplify the expression √45x²y⁵z⁸

Answer 1

depends

if the square root sign is just for the 45, see the other tutors' answers

but if it extends to all then

= sqr(45x^2y^5z^8)

=3xy^2z^4sqr(5y)

Answer 2

√45x²y⁵z⁸= √9•5•x²•y⁴•y•z⁸

Since √9 = 3, √x² = x, √y⁴ = y² and √Z⁸ = Z⁴

Simplifying, We now have:

√9•5•x²•y⁴•y•z⁴ = √9 • √5 • √x² • √y⁴ •√y •√z⁸

Simplifying each term under the square root, the result is:

3 • √5 • x • y² • √y • z⁴

Combining all terms together provides the simplified form:

3xy²z⁴√5y

Answer 3

√(45x²y⁵z⁸) = √9 √5 √(x²) √(y⁴) √y √(z⁸) = 3xy²z⁴ √(5y)