Square roots exercise

Here is the list of mathematics exercises on square roots. Each corrected exercise is accompanied by indications, reminders of the course, methodological advice which allows you to practice independently.

10 exercises

N°1414 (square roots) : The purpose of this corrected math exercise is to simplify the square root of an integer.

Exercise example :

Calculate the following expression `sqrt(939)^2`.
1414 functions | square roots 9th Grade simplify_surd
N°1415 (square roots) : The purpose of this corrected math exercise is to solve an equation of the form `x^2=a`.

Exercise example :

Find x such that `x^2`=9.
1415 square roots | solving equations | equations | functions 9th Grade equation_solver
N°1416 (square roots) : The purpose of this corrected math exercise is to simplify a product of square roots.

Exercise example :

Put under the same radical the following expression `sqrt(35)*sqrt(31)`.
1416 square roots | functions 9th Grade simplify_surd
N°1417 (square roots) : The purpose of this corrected math exercise is to simplify a quotient of square roots.

Exercise example :

Put under the same radical the following expression `sqrt(16)/sqrt(25)`.
1417 square roots | functions 9th Grade simplify_surd
N°1418 (square roots) : The purpose of this corrected math exercise is to write a square root in a simplified form.

Exercise example :

Write in the form `a*sqrt(b)`, the following expression `sqrt(480)`, where a and b represent two integers.
1418 square roots | order, absolute value, inequations | numbers and equations | functions 9th Grade | 10th Grade simplify_surd
N°1419 (square roots) : The purpose of this corrected math exercise is to write a quotient of square roots in a simplified form.

Exercise example :

Write in the form `a*sqrt(b)`, the following expression `sqrt(140)/sqrt(20)`, where a and b represent two integers.
1419 square roots | functions 9th Grade simplify_surd
N°1436 (square roots) : The objective of this exercise is to reduce a fraction, simplify a square root, and calculate a fraction that contains powers.
Exercise example :
1. Compute A and give the result as an irreducible fraction.
2. Write B in the form `a*(sqrt(6))` where a is a relative integer.
3. Write C as an integer.
1436 mathematics exams and competitions | fractions | Numbers | square roots 9th Grade fraction
N°14110 (square roots) : The purpose of this corrected math exercise is to simplify a square root.

Exercise example :

Write in the form `sqrt(a)/b`, the following expression `1/sqrt(360)`, where a and b represent two integers.
14110 square roots | fractions | Numbers 9th Grade simplify_surd
N°14111 (square roots) : The objective of this exercise is to write an expression composed of the sum of an integer and a square root.

Exercise example :

Put `8+sqrt(20)` in the form `a+b*sqrt(5)`, where a and b are two natural numbers.
14111 square roots | functions 9th Grade simplify_surd
N°14112 (square roots) : The objective of this exercise is to simplify an expression composed of several square roots.

Exercise example :

Write C in the form `a*sqrt(b)` where a is a relative integer and b a natural number: C=`1*sqrt(8)-2*sqrt(18)-1*sqrt(32)-2*sqrt(2)`
14112 square roots | functions 9th Grade simplify_surd

The square roots topic is available for : 8th Grade

List of exercises by class : middle and high schools, 6th Grade, 7th Grade, 8th Grade, 9th Grade, 10th Grade, 11th Grade, 12th Grade.

Corrected online exercises on square roots (radicals)