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 exercisesExercise example N°1414 :

Calculate the following expression `sqrt(939)^2`.

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The purpose of this corrected math exercise is to simplify the square root of an integer.

Exercise example N°1415 :

Find x such that `x^2`=9.

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The purpose of this corrected math exercise is to solve an equation of the form `x^2=a`.

Exercise example N°1416 :

Put under the same radical the following expression `sqrt(35)*sqrt(31)`.

square roots functions 9th Grade simplify_surd

The purpose of this corrected math exercise is to simplify a product of square roots.

Exercise example N°1417 :

Put under the same radical the following expression `sqrt(16)/sqrt(25)`.

square roots functions 9th Grade simplify_surd

The purpose of this corrected math exercise is to simplify a quotient of square roots.

Exercise example N°1418 :

Write in the form `a*sqrt(b)`, the following expression `sqrt(480)`, where a and b represent two integers.

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The purpose of this corrected math exercise is to write a square root in a simplified form.

Exercise example N°1419 :

Write in the form `a*sqrt(b)`, the following expression `sqrt(140)/sqrt(20)`, where a and b represent two integers.

square roots functions 9th Grade simplify_surd

The purpose of this corrected math exercise is to write a quotient of square roots in a simplified form.

Exercise example N°1436 :

- Let `A=3/8+10/6-8/4` , `B=-8*sqrt(24)-4*sqrt(216)-5*sqrt(54)-1*sqrt(54)` and `C=(18*10^5*3*10^6)/(6*10^11)`
- Compute A and give the result as an irreducible fraction.
- Write B in the form `a*(sqrt(6))` where a is a relative integer.
- Write C as an integer.

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The objective of this exercise is to reduce a fraction, simplify a square root, and calculate a fraction that contains powers.

Exercise example N°14110 :

Write in the form `sqrt(a)/b`, the following expression `1/sqrt(360)`, where a and b represent two integers.

square roots fractions Numbers 9th Grade simplify_surd

The purpose of this corrected math exercise is to simplify a square root.

Exercise example N°14111 :

Put `8+sqrt(20)` in the form `a+b*sqrt(5)`, where a and b are two natural numbers.

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The objective of this exercise is to write an expression composed of the sum of an integer and a square root.

Exercise example N°14112 :

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)`

square roots functions 9th Grade simplify_surd

The objective of this exercise is to simplify an expression composed of several square roots.

The **square roots** topic is available for : 8th Grade