Square Roots & Cube Roots Drill

A high-yield practice drill on square roots and cube roots for Kerala PSC examinations (LDC, LGS, CPO, Fireman, Secretariat Assistant). Master memorized roots up to $$30$$, decimal square root decimal-halving principles ($$\sqrt{0.0064} = 0.08$$), perfect cubes up to $$10$$, and algebraic root simplification.

Study Scope

• Memorized Perfect Squares: $$\sqrt{144}=12$$, $$\sqrt{225}=15$$, $$\sqrt{289}=17$$, $$\sqrt{324}=18$$, $$\sqrt{441}=21$$, $$\sqrt{576}=24$$, $$\sqrt{625}=25$$
• Decimal Square Roots: Halving the count of decimal places under the radical sign ($$\sqrt{0.0064} = 0.08$$, $$\sqrt{1.44} = 1.2$$)
• Cube Roots of Perfect Cubes: $$\sqrt[3]{27}=3$$, $$\sqrt[3]{64}=4$$, $$\sqrt[3]{125}=5$$, $$\sqrt[3]{216}=6$$, $$\sqrt[3]{343}=7$$, $$\sqrt[3]{512}=8$$, $$\sqrt[3]{729}=9$$, $$\sqrt[3]{1000}=10$$
• Root Properties & Traps: Distinguishing $$\sqrt{a} + \sqrt{b}$$ from $$\sqrt{a+b}$$

Tested Competencies

• Instantly evaluate square and cube roots of standard integer values without manual factorization
• Accurately place decimal points when extracting roots of decimal values
• Simplify compound expressions involving radicals with speed and precision