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Like this. Factor inside the radical.
3sqrt(2^2*2^2 *5)
as you can see....4 *4 = 16 * 5 = 80, so you can bring both 2,s out and multiply them against the 3
2*2*3sqrt(5)
= 12sqrt(5)
simplified
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∙ 13y ago
Anonymous
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How do you simplify 2 radical 75?
2*sqrt(75) = 2*sqrt(25*3) = 2*sqrt(25)*sqrt(3) = 2*5*sqrt(3) = 10*sqrt(3)
Square root of 27 in simplified radical form?
3 sqrt (3)Put the radical where the "sqrt" is with the second 3 inside.
What is the simplified expression for radical 12 minus 3 radical 3?
In order to work with radicals (adding or subtracting) they have to have the same radical expression. ex: 2 rad 3 + 4 rad 3 = 6 rad 3. If it helps, change the similar radicals to a variable. 2 rad 3 + 4 rad 3 2 x + 4 x = 6x and then substitute your radical back in for the variable. 6 rad 3 ---- rad 12 - 3 rad 3 Let's simplify radical 12. First, factor 12 into a perfect square, and a not perfect square.) Hint: we want it to be radical 3 to work with it... 3 times what is 12? rad 12 = sqrt(12) = sqrt(4*3) sqrt(4*3) = sqrt(4)*sqrt(3) sqrt(4) is just 2! We bring this to the "outside" of the radical. sqrt(4)*sqrt(3) = 2 sqrt(3) or 2 rad 3 rad 12 - 3 rad 3 2 rad 3 - 3 rad 3 (or 2x - 3x if it helps) We're left with: -1 rad 3, or just - rad 3 (negative radical 3)
What is the square root of 80 over 45?
sqrt(80/45) = sqrt(16/9) = sqrt(16)/sqrt(9) = 4/3 sqrt(80/45) = sqrt(16/9) = sqrt(16)/sqrt(9) = 4/3 sqrt(80/45) = sqrt(16/9) = sqrt(16)/sqrt(9) = 4/3 sqrt(80/45) = sqrt(16/9) = sqrt(16)/sqrt(9) = 4/3
What are the square root of 363 in radical form?
sqrt(363) = sqrt(121*3) = sqrt(121)*sqrt(3) = 11*sqrt(3)
How do you simplify the radical square root of 27?
sqrt(27) = 3*sqrt(3).
How do you simplify 2 radical 75?
2*sqrt(75) = 2*sqrt(25*3) = 2*sqrt(25)*sqrt(3) = 2*5*sqrt(3) = 10*sqrt(3)
How do you simplify square root of 12?
Factorise 12.Replace each pair appearing in this factorisation as by the same number outside the radical and then put everything under the radical sign. sqrt(12) = sqrt(2*2*3) = 2*sqrt(3)
How do you simplify 3 over the square root of 2?
You can rationalize the denominator by multiplying this fraction by a fractional form of one in radical form. 3/sqrt(2) * sqrt(2)/sqrt(2) = 3sqrt(2)/2 ----------------
You can add radical expressions by combining like terms and then adding them together?
Yes. So 3*sqrt(2) + 5*sqrt(2) = 8*sqrt(2) But you may need to simplify terms eg 3*sqrt(2) + 5*sqrt(8) = 3*sqrt(2) + 10*sqrt(2) = 13*sqrt(2)
What is the Simplest radical form of the square root of 60?
If we factor 60, we get 60 = 2 * 2 * 3 * 5 So sqrt ( 60 ) = sqrt (2 * 2 * 3 * 5) = sqrt (2 * 2) * sqrt (3 * 5) = 4 * sqrt( 15 ) ____________________________________________________________ actually if you do by just using the simpler way you should get 2 radical 15 since , 60 has the closest perfect square of 4 and non perfect of 15 this is how you should solve radical 60 = radical 4 times radical 15 radical 60 = simplify the 4 to 2 and leave radical 15 So , radical 60 = 2 radical 15 not what is above .
What is the simplified expression for radical 3 times radical fifteen?
sqrt(3) x sqrt(15) = sqrt( 3 x 15 ) = sqrt( 45 ) = sqrt( 9 x 5 ) = 3 sqrt(5)
What is square root of 18 in radical form?
The SQRT(18) in radical form is 3*SQRT(2), where SQRT represents the radical symbol.
What is 3 radical 6 times radical 6?
3 sqrt(6) x sqrt(6) = 18
How do you multiply two square root fractions then multiplied the answer by a whole number?
You multiply the two fractions, put the result under the radical symbol and simplify, if possible. Then multiply the result by the whole number.For example, sqrt(1/6)*sqrt(3/4)*5 = sqrt[(1/6*3/4)]*5 = sqrt(3/24)*5= sqrt(1/8)*5 = 1/2*sqrt(1/2)*5 = 5/2*sqrt(1/2).You multiply the two fractions, put the result under the radical symbol and simplify, if possible. Then multiply the result by the whole number.For example, sqrt(1/6)*sqrt(3/4)*5 = sqrt[(1/6*3/4)]*5 = sqrt(3/24)*5= sqrt(1/8)*5 = 1/2*sqrt(1/2)*5 = 5/2*sqrt(1/2).You multiply the two fractions, put the result under the radical symbol and simplify, if possible. Then multiply the result by the whole number.For example, sqrt(1/6)*sqrt(3/4)*5 = sqrt[(1/6*3/4)]*5 = sqrt(3/24)*5= sqrt(1/8)*5 = 1/2*sqrt(1/2)*5 = 5/2*sqrt(1/2).You multiply the two fractions, put the result under the radical symbol and simplify, if possible. Then multiply the result by the whole number.For example, sqrt(1/6)*sqrt(3/4)*5 = sqrt[(1/6*3/4)]*5 = sqrt(3/24)*5= sqrt(1/8)*5 = 1/2*sqrt(1/2)*5 = 5/2*sqrt(1/2).
Square root of 27 in simplified radical form?
3 sqrt (3)Put the radical where the "sqrt" is with the second 3 inside.
What is the radical expression of the square root of 27?
sqrt(27) = sqrt(9*3) = sqrt(9)*sqrt(3) = 3*sqrt(3)
