Solve each of the following equations using the Extended Square Root Property.

Question

Solve each of the following equations using the Extended Square Root Property.

1. 8√x+7=16

x= _____________

2. √7x+4−3=0

x= _____________

3. 8√5x−7=16

x= _____________

Answer 1

8sqr(x+7)=16

sqr(x+7)=16/8=2

x+7=2^2=4

x=4-7=-3

x=-3

sqr(7x+4)-3=0

sqr(7x+4)=3

7x+4=3^2=9

7x=5

x=5/7

8sqr(5x-7)=16

sqr(5x-7)=16/8=2

5x-7=2^2=4

5x=4+7=11

x=11/5=2.2