alleryStart learning →Find (3 + sqrt2)(3 - sqrt2).
- 9
- 11
- 5
- 7
Show answer and solution
Correct answer: D. 7
9 - 2 = 7 by the difference of two squares.
SSC CGL Basic Algebraic Identities and Elementary Surds — practice questions — page 2
Explore 46 free Basic Algebraic Identities and Elementary Surds questions in SSC CGL Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Basic Algebraic Identities and Elementary Surds with Quill →Basic Algebraic Identities and Elementary Surds questions and exercises with answers
Showing questions 31–46 of 46.
Find (3 + sqrt2)(3 - sqrt2).Read the answer and worked solution →Evaluate sqrt50 + sqrt72 - sqrt32.Read the answer and worked solution →What is sqrt12 x sqrt27?Read the answer and worked solution →Simplify the square root of (7 + 4sqrt3).Read the answer and worked solution →If x = sqrt3 + sqrt2, find x^2 + 1/x^2.Read the answer and worked solution →If x = 3 + 2sqrt2, what is the value of x + 1/x?Read the answer and worked solution →Expand (2sqrt5 + 3sqrt2)^2.Read the answer and worked solution →Which of these three numbers is the largest: sqrt2, cube root of 3, fourth root of 5?Read the answer and worked solution →Which is greater: sqrt3 or the cube root of 5?Read the answer and worked solution →Which of these is a surd?Read the answer and worked solution →The order of the surd fifth root of 7 is what?Read the answer and worked solution →Which of the following numbers is irrational?Read the answer and worked solution →What is the product of sqrt2 and sqrt8?Read the answer and worked solution →A square of a real number x is less than x exactly when x lies in which range?Read the answer and worked solution →How many real numbers have a square equal to 49?Read the answer and worked solution →The number zero is the square of how many real numbers?Read the answer and worked solution →
Worked practice questions
Evaluate sqrt50 + sqrt72 - sqrt32.
- 8sqrt2
- 7sqrt2
- 6sqrt2
- 9sqrt2
Show answer and solution
Correct answer: B. 7sqrt2
5sqrt2 + 6sqrt2 - 4sqrt2 = 7sqrt2.
What is sqrt12 x sqrt27?
- 36
- 24
- 18
- 9
Show answer and solution
Correct answer: C. 18
sqrt(12 x 27) = sqrt324 = 18.
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