∛22 + 3√22 + √22
∛22 + 3√22 + √22 can be simplified as follows:
√22 can be written as (2 * √11) because 11 is the largest perfect square that divides 22.
∛22 can be simplified as follows:
∛(2 * 11) = (∛2) * (∛11) = (∛2) * ∛11
Therefore:
∛22 + 3√22 + √22 = (∛2) * ∛11 + 3 * (2 * √11) + (2 * √11)
Simplifying further:
= (∛2) * ∛11 + (3 * 2 * √11) + (2 * √11)
= (∛2) * ∛11 + (6 * √11) + (2 * √11)
= (∛2 + 8) * √11
So, the simplified form of ∛22 + 3√22 + √22 is (∛2 + 8) * √11.
To simplify the expression ∛22 + 3√22 + √22, we will combine like terms by factoring out the common term √22.
First, let's rewrite the expression using the multiplication symbol:
∛22 + 3√22 + √22
Now, let's factor out √22:
√22(√22^(2/3) + 3 + 1)
The cube root (∛) can also be expressed as an exponent:
√22(22^(1/3) + 3 + 1)
To simplify further, we can evaluate the exponents:
√22(∛22 + 3 + 1)
Now, let's add the terms inside the parentheses:
√22(∛22 + 4)
So, the simplified expression is: √22(∛22 + 4)
WRONG
Apologies for the incorrect response. Let's simplify the expression correctly:
∛22 + 3√22 + √22
To simplify this expression, we need to find the like terms with the same radical. In this case, both terms have the radical √22. Therefore, we can combine them:
(3√22 + √22) + ∛22
This simplifies to:
4√22 + ∛22
So, the simplified expression is 4√22 + ∛22.
Subtract 8√23 - √23
To subtract 8√23 - √23, we can simply combine the coefficients of the like terms:
8√23 - √23 = (8 - 1)√23 = 7√23
Therefore, 8√23 - √23 simplifies to 7√23.
Jake runs 7√6 miles on Monday and 5√6 miles on Tuesday. What is the difference in miles run each day?
To find the difference in miles run each day, we need to subtract the distance run on Tuesday from the distance run on Monday.
7√6 - 5√6
Since both terms have the same radical (√6), we can subtract the coefficients:
7√6 - 5√6 = (7 - 5)√6 = 2√6
Therefore, the difference in miles run each day is 2√6.
To simplify the given expression ∛22 + 3√22 + √22, you can combine like terms.
Step 1: Start by observing that all the terms have a coefficient of 1 in front of the square root sign (√).
Step 2: You can rewrite the expression as:
√22 + √22 + √22 + √22 + √22 + √22
Step 3: Now, combine the like terms (terms with the same radicand, which is 22 in this case).
2√22 + 4√22
Step 4: Add the coefficients together:
2 + 4 = 6
Therefore, the simplified expression is 6√22.