divide √95/3√5 what is the exsact answer if square root form
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).
√95 divided by 3√5
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.
divide 36√39 by 9√13
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.
To divide the expression √95 by 3√5 and express the result in square root form, we can follow these steps:
Step 1: Simplify the individual square root terms.
√95 = √(19 × 5) = √19 × √5
3√5 remains the same.
Step 2: Divide the simplified terms.
(√19 × √5) / 3√5
Step 3: Cancel out the common square root terms, √5, from the numerator and denominator.
(√19 × √5) / 3√5 = (√19 × √5) / (3 × √5)
Step 4: Simplify further.
(√19 × √5) / (3 × √5) = (√19/√5) × (√5/3) = (√19 × √5) / (3 × √5 × √5)
Step 5: Simplify the square roots.
(√19 × √5) / (3 × √5 × √5) = (√19 × √5) / (3 × 5) = (√19/3)
Therefore, the exact answer, in square root form, for √95 divided by 3√5 is (√19/3).