How do you multiply #\sqrt { 45x ^ { 5} } * 3\sqrt { 35x ^ { 3} }#?

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Answer 1 · 2017-02-13T17:17:14

#45x^4sqrt7#

without using a calculator

#sqrt(45x^5).3sqrt((35x^3)#

#=3sqrt(45x^5xx35x^3)#

now split the numbers up into factors and then remove the perfect squares. Add the powers and if even half it to find its square root.

#=3sqrt(color(blue)(9)xx5xx7xx5x^8)#

#=3x^4xxcolor(blue)(3)sqrt(color(red)(5)xx7xxcolor(red)(5))#

#=9x^4xxcolor(red)(5)sqrt(7)#

#=45x^4sqrt7#