To solve complex fraction expressions, first apply the order of operations (PEMDAS) to the numerator, performing multiplication before addition and subtraction from left to right, then rationalize the denominator by multiplying both numerator and denominator by the same square root to eliminate radicals, and finally simplify the resulting fraction.
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Deep Dive
Can You Solve and Simplify This Math Problem?!Added:
Hello, my friend.
Today, I have this expression for you to solve. It's a fraction.
5 + 5 * 5 - 5 in the numerator over square root of 5.
First of all, we should do the numerator here because we have some several operations. You should know about the operations orders. Always multiplication and also division are or have priority to addition and subtraction.
But, these are in same order.
So, when you facing these cases, always you should do the operations from the left to right for the same order cases.
Backing in our solution here, we can write the fraction first and then go for the numerator.
According to PEMDAS and that these operations order, you should know first you have to do the multiplication, which is 25. 5 * 5 25.
Then, I can write everything here. 5 + 25 5 everything over square root of 5.
Now, we have the addition and subtraction. And according to this rule for the same order, because you know, addition and subtraction are in same order. We should do the operations from left to right. First, 5 to add to 25, which gives us 30 5 over s root of 5 that gives us 25 over s square root of 5.
But, it's not the final answer because you have a square root in the denominator. You should or you can is better to make it a decimal number, not a square root of number. And the best way is to multiply with new fraction. A new fraction is the same number for the numerator and denominator which is the same number of this denominator.
Which gives us s square root of 5 over s square root of 5.
Now, everything should be 25 times s square root of 5 25 times s square root of 5 over s square root of 5 times s square root of 5 which gives us only 5 because these two s square root of 5 gives us a square and a square can cancel by this s square root and we have 25 s square root of 5 over 5.
And this 5 can be simplified with this 25 with the 5 and the last answer is 5 s square root of 5 is the our final answer here.
Uh please write me here what do what did you obtain from this example?
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