Explain the difference between solving an equation with one radical and solving an equation with more than one radical.

The difference is that we have to square both sides 'n' number of times in order to eliminate the radical in solving the radical equation with 'n' number of radicals.

We know that a radical equation is an equation involving square root and other roots.

When we solve a radical equation, we isolate the radical part and then take square of both sides to solve for the unknown variable.

1. Equation with one radical.

Let us consider,

Squaring on both sides,

i.e.

i.e.

i.e.

2. Equation with two radicals.

Let us consider, .

i.e. ( Squaring both sides )

i.e.

i.e.

i.e.  ( Squaring both sides )

i.e.

i.e.

i.e.

i.e.

So, we can see that the method for solving both 1 and 2 is same, the only difference is that in 2 we have to square both sides two times in order to eliminate the radical.

Hence, the difference is that we have to square both sides 'n' number of times in order to eliminate the radical in solving the radical equation with 'n' number of radicals.

answer: x=3 and y=4

step-by-step explanation: