5.2. ∜a⁴*a^0,25 / √a + a⁴ — √a a = √6
a^3/4 * a^1/4 / a^1/2 + a⁴ — √a = a/a^1/2 + a⁴ -√a = a^1/2 + a⁴ — a^1/2 = a⁴ = (√6)⁴ = (6^1/2)⁴ = 6^1/2*4 = 6² = 36

7.2. (a⁴)^1/3/a — 3a^1/3 = a^4*1/3/a — 3a^1/3 = a^4/3/a — 3a^1/3 = a^1/3 — 3a^1/3 = -2a^1/3

8.2. (a^0,1)¹⁰/a — 3a^1/3 * a^2/3 = a^10*0,1/a — 3a^1/3 * a^2/3 = a/a — 3a^1/3 * a^2/3 = 1 — 3a^1/3 * a^2/3 = 1 — 3a^1/3+2/3 = 1 — 3a

9.2. 8^-1/3 * 64^1/2 = 8^-1/3 * (8²)^1/2 = 8^-1/3 * 8 = 8^2/3 = (2³)^2/3 = 2^3*2/3 = 2² = 4

10.2. √∛2⁴ * ⁶√4 = √2^4/3 * ⁶√2² = 2^4/3:2 * 2^2/6 = 2^4/3*1/2 * 2^2/6 = 2^4/6 * 2^2/6 = 2^4/6+2/6 = 2

11.3. (3^√2)^√2 + 3⁰ = 3² + 3⁰ = 9 + 1 = 10

12.2. ∛-4√4 = ∛-4¹ * 4^1/2 = ∛-4 * 2¹ = √-(2)² * 2¹ = -∛2³ = -2^3/3 = -2

1.2. √60 — √20 / √5 — √15 = 2√15 — 2√5 / √5 — √15 = 2(√15 — √5) / √5 — √15 = -2(-√15 + √5) / √5 — √15 = -2

Պատ.՝ 3:

2.2. (3√5 — 2)² + 12(√5 — 3) = 45 — 12√5 + 4 + 12√5 — 36 = 13

Պատ.՝ 3:

3.2. 9 — a^2/5 / 3 + a^1/5 a = 32
3² — (a^1/5)² / 3 + a^1/5 = (3 — a^1/5)(3 + a^1/5) / 3 + a^1/5 = 3 — a^1/5 = 3 — 32^1/5 = 3 — (2⁵)^1/5 = 3 — 2^5*1/5 = 3 — 2 = 1

Պատ.՝ 3: