Divide √95 3√5
To divide radicals, we can simplify the expression by combining like terms inside the radical signs:
√95 = √(19 * 5) = √19 * √5
So, √95 = √19 * √5
Now, let's simplify the expression 3√5:
3√5 = 3 * √(5) = 3 * √5
Now, we can divide the two expressions:
(√95) / (3√5) = (√19 * √5) / (3 * √5)
Since the √5 terms cancel out, we are left with:
(√19 * √5) / (3 * √5) = (√19) / 3
Therefore, (√95) / (3√5) simplifies to (√19) / 3.
To divide √95 by 3√5, we can simplify the expression.
Step 1: Simplify √95:
√95 = √(5 × 19) = √5 × √19
Step 2: Simplify 3√5:
3√5 = 3 × √5
Step 3: Combine the simplified expressions:
(√5 × √19) / (3 × √5)
Step 4: Cancel out the common factor of √5:
(√19) / 3
So, the division of √95 by 3√5 is (√19) / 3.
To divide the expressions √95 and 3√5, we can simplify them individually and then divide.
Let's start by simplifying the expressions:
√95 = √(5*19) = √5 * √19
3√5 remains unchanged.
Now we can rewrite the division as a multiplication:
(√5 * √19) / (3√5)
To divide two square roots with the same radicand (√5 in this case), we can simplify the expression further:
√5 / √5 = 1 (since the square root of a number divided by itself is equal to 1)
So the expression becomes:
(1 * √19) / 3√5
To simplify further, we can cancel out the common factors in the numerator and denominator:
(√19) / (3)
Therefore, the division of √95 and 3√5 simplifies to (√19) / 3.