Question
Simplify the expression
742l4−1
Evaluate
l4×742−1
Solution
742l4−1
Show Solution

Find the roots
l1=−74247423,l2=74247423
Alternative Form
l1≈−0.191602,l2≈0.191602
Evaluate
l4×742−1
To find the roots of the expression,set the expression equal to 0
l4×742−1=0
Use the commutative property to reorder the terms
742l4−1=0
Move the constant to the right-hand side and change its sign
742l4=0+1
Removing 0 doesn't change the value,so remove it from the expression
742l4=1
Divide both sides
742742l4=7421
Divide the numbers
l4=7421
Take the root of both sides of the equation and remember to use both positive and negative roots
l=±47421
Simplify the expression
More Steps

Evaluate
47421
To take a root of a fraction,take the root of the numerator and denominator separately
474241
Simplify the radical expression
47421
Multiply by the Conjugate
4742×4742347423
Multiply the numbers
More Steps

Evaluate
4742×47423
The product of roots with the same index is equal to the root of the product
4742×7423
Calculate the product
47424
Reduce the index of the radical and exponent with 4
742
74247423
l=±74247423
Separate the equation into 2 possible cases
l=74247423l=−74247423
Solution
l1=−74247423,l2=74247423
Alternative Form
l1≈−0.191602,l2≈0.191602
Show Solution
