Corrected online exercises on square roots (radicals)

Exercise 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)`
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.

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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.

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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.