Algebraic identities help simplify expressions and solve mathematical problems using standard formulas. Practise identities involving squares, products, and sums to improve calculation speed for SSC, CHSL, CGL, and other competitive exams.
- If \(x^2+\frac{1}{x^2}=14\), find the value of \((x+\frac{1}{x})^2\).
SSC Selection Post 2026 Graduate · 2026 · 23 Sep Shift 1st · Question 70 · Hard
- If \(\sqrt{x}+\frac{1}{\sqrt{x}}=\sqrt{7}\), what is the value of \(x+\frac{1}{x}\)?
SSC Selection Post 2026 Graduate · 2026 · 23 Sep Shift 1st · Question 69 · Hard
- Which of the following represents (x + y)^2?
SSC Selection Post 2026 Graduate · 2026 · 23 Sep Shift 1st · Question 56 · Easy
- Solve for 'x' 4x - 7 = 5x - 3.
SSC Selection Post 2026 Graduate · 2026 · 23 Sep Shift 1st · Question 54 · Medium
- Factorize: x^2 - 10x + 25
SSC Selection Post 2026 Graduate · 2026 · 23 Sep Shift 1st · Question 53 · Medium
- If \(x^4+\frac{1}{x^4}=322\) and x > 1, what is the value of the expression \(x-\frac{1}{x}\)?
SSC Selection Post 2026 Graduate · 2026 · 22 Sep Shift 1st · Question 74 · Medium
- If \(k-\frac{1}{k}=5\), find the value of \(k^3-\frac{1}{k^3}\).
SSC Selection Post 2026 Graduate · 2026 · 22 Sep Shift 1st · Question 57 · Medium
- Find the surd value of √75 − √27.
SSC Selection Post 2026 Graduate · 2026 · 21 Sep Shift 1st · Question 67 · Easy
- Simplify: 7² + 2 × 7 × 3 + 3²
SSC Selection Post 2026 Graduate · 2026 · 21 Sep Shift 1st · Question 55 · Medium
- If x + 1/x = 9, then find the value of x³ + 1/x³ + x² + 1/x².
SSC Selection Post 2026 Graduate · 2026 · 19 Sep Shift 1st · Question 74 · Hard
- If a + b = 3 and ab = 2, find a³ + b³.
SSC Selection Post 2026 Graduate · 2026 · 19 Sep Shift 1st · Question 55 · Medium
- Simplify: \(\frac{8^2-6^2}{8-6}\)
SSC Selection Post 2026 Graduate · 2026 · 18 Sep Shift 1st · Question 59 · Medium
- If \(x+\frac{1}{x}=3\), then what is the value of \(x^2+\frac{1}{x^2}\)?
SSC Selection Post 2026 Graduate · 2026 · 18 Sep Shift 1st · Question 55 · Hard
- The value of \((\sqrt{5}+\sqrt{2})(\sqrt{5}-\sqrt{2})\) is:
SSC Selection Post 2026 Graduate · 2026 · 18 Sep Shift 1st · Question 51 · Hard
- For what value of x is the statement \(\left(\frac{x}{27}\right)\left(\frac{x}{108}\right)=1\) true?
SSC Selection Post 2026 Graduate · 2026 · 17 Sep Shift 1st · Question 51 · Hard
- Which is the largest among these: cube root of 2, square root of 3, and sixth root of 5?
SSC CHSL Tier 1 · 2025 · 18 Nov Shift 3rd · Question 72 · Medium
- If a = √8 + √3 and b = √8 - √3, find the value of (a + b) / (a - b).
SSC CHSL Tier 1 · 2025 · 18 Nov Shift 2nd · Question 63 · Medium
- If x = √10 + √3 and y = √10 - √3, then find x² + y².
SSC CHSL Tier 1 · 2025 · 18 Nov Shift 2nd · Question 62 · Medium
- If (6m − 5n)² = 7 and 30mn = 60, then find the value of (6m + 5n)² + 16mn.
SSC CHSL Tier 1 · 2025 · 17 Nov Shift 2nd · Question 63 · Medium
- If x + y = 6 and x² + y² = 20, then find the value of (x⁴ + x²y² + y⁴).
SSC CHSL Tier 1 · 2025 · 17 Nov Shift 2nd · Question 62 · Medium
- Simplify the expression: (√3 + √5)² + (√3 − √5)² + 2(√3 + √5)(√3 − √5)
SSC CHSL Tier 1 · 2025 · 15 Nov Shift 2nd · Question 74 · Medium
- Simplify: (2√3 + √2)²
SSC CHSL Tier 1 · 2025 · 15 Nov Shift 2nd · Question 73 · Medium
- Rationalize: 1 / (√3 + √2)
SSC CHSL Tier 1 · 2025 · 15 Nov Shift 2nd · Question 72 · Hard
- Find the value of √(9 + 4√5) + √(9 − 4√5).
SSC CHSL Tier 1 · 2025 · 15 Nov Shift 2nd · Question 71 · Medium
- Simplify: (5 + 2√6)(5 − 2√6)
SSC CHSL Tier 1 · 2025 · 15 Nov Shift 2nd · Question 70 · Hard