add 2 square root 21 + 3 square root 21
10 square root 21
10 square root 42
square root 52
square root 24 + square root 28
2 square root 21 + 3 square root 21 = 5 square root 21
10 square root 21 + 10 square root 42 cannot be simplified further.
The simplified form of square root 52 is 2 square root 13.
The simplified form of square root 24 + square root 28 is 2 square root 6 + 2 square root 7.
To solve the expression "2√21 + 3√21", we can simplify it by combining like terms.
Step 1: First, we need to recognize that both terms have the same radical (√21) so, we can add their coefficients.
2√21 + 3√21 = (2 + 3)√21
Step 2: Now, we can simplify the coefficient of the radical.
(2 + 3)√21 = 5√21
The simplified expression is 5√21.
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To solve the expression "√24 + √28", we can simplify it by finding the square root of the given numbers.
Step 1: Firstly, let's find the prime factorization of 24 and 28.
24 = 2 * 2 * 2 * 3 = 2^3 * 3
28 = 2 * 2 * 7 = 2^2 * 7
Step 2: Now, we can simplify the square roots.
√24 = √(2^3 * 3) = 2√3
√28 = √(2^2 * 7) = 2√7
Step 3: Finally, we can combine the simplified terms.
√24 + √28 = 2√3 + 2√7
The simplified expression is 2√3 + 2√7.
To simplify the expression "2√21 + 3√21," we first notice that both terms have the same radical (√21). Therefore, we can combine the coefficients in front of the radical.
Step 1: Combine the coefficients of the radicals.
2√21 + 3√21 = (2 + 3)√21 = 5√21
The simplified form of the expression "2√21 + 3√21" is 5√21.
Now, let's simplify the other expressions you mentioned.
1. 10√21:
There are no like terms to combine, so this expression is already simplified.
2. 10√42:
We need to determine if the radical can be simplified. To do that, let's find the prime factors of the number inside the radical:
42 = 2 * 3 * 7
Since there are no perfect square factors (like 4 or 9) within those prime factors, we cannot simplify the radical further. Therefore, the expression 10√42 is already simplified.
3. √52:
Let's find the prime factors of 52:
52 = 2 * 2 * 13
We can simplify the radical by taking out any perfect square factors:
√52 = √(2 * 2 * 13) = 2√13
The simplified form of the expression √52 is 2√13.
4. √24 + √28:
Let's find the prime factors of 24 and 28:
24 = 2 * 2 * 2 * 3
28 = 2 * 2 * 7
We can simplify the radicals by taking out any perfect square factors:
√24 = √(2 * 2 * 2 * 3) = 2√6
√28 = √(2 * 2 * 7) = 2√7
So, the simplified form of the expression √24 + √28 is 2√6 + 2√7.