9. Find the conjugate of each of the following radical expressions.
a.
√5 + √11
b.
9 − √11
c.
3
√3 + 1.5
10. Evaluate √𝑥 2 + 𝑦 2 when 𝑥 = 20 and 𝑦 = 10.
11. Express the perimeter of the figure in simplest radical form:
12. Express each of the following expressions as a rational number or in simplest radical form, combining like terms
where possible.
a.
2
√3(√3 − 1)
b. (5 + √3)
c. (10 + √11)(10 − √11)
3
1
e. 3√3 − √4 + √3
d. (√21 − √3) ÷ √3
𝟑
𝟓
𝟑
𝟖
𝟑
f. √𝟖 + √𝟒𝟎 − √𝟗