How do you simplify #-sqrt40#?

3 Answers
Apr 17, 2018

Answer:

#-2sqrt10#

Explanation:

#-sqrt40 rarr# Look for any perfect squares

#-sqrt(4*10) rarr# #4# is a perfect square

#-2sqrt10#

Apr 17, 2018

Answer:

#-2sqrt10#

Explanation:

Note here that:

#sqrt(ab)=(ab)^(1/2)=>a^(1/2)*b^(1/2)#

Factor #40#

#=>-sqrt(4*10)#

#=>-(4)^(1/2)*10^(1/2)#

#=>-sqrt4*sqrt10#

#=>-2sqrt10#

Apr 17, 2018

Answer:

#-2sqrt10#

Explanation:

#-sqrt40# is the same thing as #-sqrt(4*10)#. Since 4 is a perfect square, (2*2=4) or (#sqrt(4)=2#), you can take four out of the radical to simplify to #-2sqrt10#.