
Procedure: 2. Find the square root of the first term in the expression. In the above example the first term is x^{4}. Its square root is x^{2}. This is the first term of the square root of the expression. 3. Write the square of x^{2}, i.e. x^{4} below the first term of the expression and subtract the difference is zero. 4. The next two terms in the given expression is (4x^{3} + 8x^{2}) are to be brought down as the dividend for the next step. Double the first term of the square root and put it down as the first term of the next divisor i.e., 2x^{2} is to be written as the first term of the next divisor. The first term 4x^{3} of the dividend 4^{3} + 8x^{2} is to be divided by the first term 2x^{2} of the next divisor. Then we get 2x. Now 2x is the second term of the square root of the given expression and second term of the new divisor. 5. Thus the new divisor becomes 2x^{2}2x. Multiply (2x^{2}  2x) by 2x and the product 4x^{3} + 4x^{2} is to be brought down under the second dividend 4x^{3}+8x^{2} and subtracted we get 4x^{2}. 6. The remaining two terms in the given expression are to be brought down to make 4x^{2}  8x + 4 as the new dividend. 7. Multiply x^{2}  2x by 2 to get 2x^{2}  4x as part of the new divisor. 8. Divide the first term 4x^{2} of 4x^{2}  8x + 4 by 2x^{2} the first term of the part of new divisor. We get 2, this is the third term of the square root of the given expression and the third term of the new divisor. 9. Multiply the new divisor by 2 and subtract from the new dividend. 10. The remainder is zero. Hence the square root is x^{2}  2x + 2. Directions: Solve the following problems using above method. Also write at least 10 examples of your own. 