divide √95/3√5 what is the exsact answer if square root form

Answer 1

To divide √95 by 3√5, we can simplify the expression as follows:

√95 / 3√5 = (√95)/(√5 * 3) [Rationalize the denominator by multiplying both the numerator and denominator by the conjugate of the denominator]

= (√95)/(√15) [√5 * 3 = √15]

= (√(19 * 5))/(√15) [Separate the square root of 95 into the product of square roots of its factors]

= (√19 * √5)/(√15) [Using the property √(a * b) = √a * √b]

= (√(19 * 5))/(√(3 * 5))

= (√19 * √5)/(√3 * √5) [Using the property √(a * b) = √a * √b]

= (√19)/(√3) [Cancel out the common factor √5]

Therefore, the exact answer in square root form is (√19)/(√3).

Answer 2

√95 divided by 3√5

Answer 3

To divide √95 by 3√5, we can simplify the expression as follows:

√95 / 3√5 = (√(5 * 19)) / (3√5) [Separate the square root of 95 into the product of square roots of its factors]

= (√5 * √19) / (3√5) [Using the property √(a * b) = √a * √b]

= (√(5 * 19)) / (√5 * 3) [Rearranging the terms]

= (√(5 * 19)) / (√5) * (1/3) [Multiplying by the reciprocal of 3]

= (√5 * √19) / √5 * (1/3) [Using the property √(a * b) = √a * √b]

= (1/3) * √19 [Canceling out the common factor √5]

Therefore, the exact answer in square root form is (1/3) * √19.

Answer 4

divide 36√39 by 9√13

Answer 5

To divide 36√39 by 9√13, we can simplify the expression as follows:

(36√39) / (9√13) = (36/9) * (√39/√13) [Using the quotient rule for division]

= 4 * (√(39/13)) [Simplifying the fraction inside the square root]

= 4 * (√3) [√(39/13) = √(3 * (13/13)) = √3]

= 4√3 [The square root of 3 cannot be simplified further]

Therefore, the exact answer in square root form is 4√3.