Ratsional ko‘rsatkichli daraja qatnashgan algebraik ifodalarni soddalashtirish — 8-sinf Algebra test savollari

1.(√x + √y)(√x − √y) ifodani soddalashtiring (x, y ≥ 0).

• A)x − y
• B)x + y
• C)√x − √y
• D)x² − y²

2.$a^{\frac{1}{3}}$ ifodaning kvadratini $a^{\frac{1}{3}}$ ga ko‘paytirsak, natija qanday bo‘ladi (a > 0)?

• A)a
• B)$a^{\frac{2}{3}}$
• C)$a^{\frac{1}{9}}$
• D)$a^{\frac{2}{9}}$

3.$a^{\frac{5}{6}}:a^{\frac{1}{6}}$ ifodani soddalashtiring (a > 0).

• A)$a^{\frac{2}{3}}$
• B)a
• C)$a^{\frac{5}{6}}$
• D)$a^{\frac{4}{6}}$

4.$a^{\frac{2}{3}}\cdot a^{\frac{1}{3}}$ ifodani soddalashtiring (a > 0).

• A)a
• B)$a^{\frac{2}{9}}$
• C)$a^{\frac{1}{3}}$
• D)$a^2$

5.(√a · √b)² ifodani soddalashtiring (a, b ≥ 0).

• A)ab
• B)a + b
• C)a²b²
• D)√(ab)

6.(√a + √b)² ifodani soddalashtiring (a, b ≥ 0).

• A)a + 2√(ab) + b
• B)a + b
• C)a − 2√(ab) + b
• D)a + √(ab) + b

7.Kasr-ratsional ifodalarni ratsional ko‘rsatkichli daraja qatnashgan holda soddalashtirishda qaysi formulalardan foydalaniladi?

• A)qisqa ko‘paytirish formulalari va daraja xossalaridan
• B)faqat qo‘shish qoidasidan
• C)faqat kasrni qisqartirish qoidasidan
• D)faqat ildiz chiqarish amalidan

8.√(a²) ifoda a < 0 bo‘lganda nimaga teng bo‘ladi?

• A)−a
• B)a
• C)|a|²
• D)a²

9.$a^{\frac{1}{2}}\cdot a^{\frac{1}{2}}$ ifodani soddalashtiring (a > 0).

• A)a
• B)$a^{\frac{1}{4}}$
• C)a²
• D)2a

10.³√a · ³√a² ifodani soddalashtiring (a ≥ 0).

• A)a
• B)$a^{\frac{2}{3}}$
• C)$a^{\frac{1}{3}}$
• D)$a^{\frac{2}{9}}$