How do you multiply #sqrt5^6#?

1 Answer
Daniel L.
Sep 25, 2015

It is 125

Explanation:

You can calculate this in (at least) 2 ways:

1) #sqrt(5)^6=(sqrt(5)sqrt(5))(sqrt(5)sqrt(5))(sqrt(5)sqrt(5))=5*5*5=125#

2)
You can use the laws of power operations

  • Write #sqrt(5)# as #5^(1/2)# to get: #sqrt(5)^6=(5^(1/2))^6#
  • Use the law that: #(a^b)^c=a^(b*c)# to get:
    #(5^(1/2))^6=5^(1/2*6)=5^3=125#
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