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  1. Problems
  2. /Number Systems
  3. /Exponents and Radicals

Exponents and Radicals

Mathematics
+ Upload a Problem
More in Number SystemsRational and Irrational NumbersExponents and RadicalsDivisibility, HCF and LCM
10 problems
Type:
1.
Simplify, using the laws of exponents. 5^(3/4) × 5^(1/4); (6^(1/3))⁶; 2^(1/2) × 18^(1/2)
High School (9–10), General · Exponents and RadicalsStemPy LabStemPy Lab
Medium
2.
Find the value of 27^(4/3), 243^(2/5) and 625^(-1/4).
High School (9–10), General · Exponents and RadicalsStemPy LabStemPy Lab
Medium
3.
Find the value of 169^(1/2), 1000^(1/3), 243^(1/5) and 256^(1/4).
High School (9–10), General · Exponents and RadicalsStemPy LabStemPy Lab
Easy
4.
Find the rational numbers a and b if (√6 - 2)/(√6 + 2) = a - b√6.
High School (9–10), General · Exponents and RadicalsStemPy LabStemPy Lab
Hard
5.
Rationalise the denominator of 1/(√7 - √5).
High School (9–10), General · Exponents and RadicalsStemPy LabStemPy Lab
Medium
6.
Rationalise the denominators of 1/√11 and 10/√5.
High School (9–10), General · Exponents and RadicalsStemPy LabStemPy Lab
Easy
7.
Give two irrational numbers whose sum is rational.
High School (9–10), General · Rational and Irrational Numbers, Exponents and RadicalsStemPy LabStemPy Lab
Medium
8.
Expand and simplify (√7 + √3)² and (2√2 - 1)².
High School (9–10), General · Rational and Irrational Numbers, Exponents and RadicalsStemPy LabStemPy Lab
Medium
9.
Multiply (2 + √5)(3 + √5) and write the answer in the form a + b√5.
High School (9–10), General · Rational and Irrational Numbers, Exponents and RadicalsStemPy LabStemPy Lab
Medium
10.
Say whether each number is rational or irrational.
High School (9–10), General · Rational and Irrational Numbers, Exponents and RadicalsStemPy LabStemPy Lab
Easy