Can someone help me out please? Thanks! Please explain 'cause I have more that I want to do on my own :)

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3 Answers
Sep 18, 2017

4sqrt5

Explanation:

I can't really see the text so I just assumed it was (4sqrt400)/(4sqrt5).

The first thing I will do is to cancel the 4 because 4/4=1 and the 4 is unnecessary so the equation would be sqrt400/sqrt5.
Let's focus on the top part which is sqrt400.

sqrt400 is the same as sqrt(2^4*5^2) which is the same as sqrt2^4sqrt5^2.

sqrt(2^4) is the same as 2 4/2 and the same as 2^2.

sqrt and x^y are opposites so sqrt(5^2) is equal to 5.

So the numerator would be 2^2*5. The whole equation would be (2^2*5)/sqrt5 or 2^2sqrt5. 2^2=4 so the equation would be 4sqrt5. (Simplified)

Sep 18, 2017

Assumption: the question reads as root(4)(400)/root(4)(5)

2root(4)(5)

Explanation:

Look for values raised to the power of 4

Tony BTony B

This gives:

root(4)(2^4xx5^2)/root(4)(5)

2xxroot(4)(5^2)/root(4)(5)

2xxroot(4)(5^2/5)

2root(4)(5)

Sep 18, 2017

2root(4)(5)

Explanation:

(root(4)(400))/(root(4)(5))=root(4)(400/5)=root(4)(80)

root(4)(80)=root(4)(16xx5)

color(white)(xxx)=root(4)(16)xxroot(4)(5)

color(white)(xxx)=2root(4)(5)