Question
Simplify the expression
−22−7j3
Evaluate
−8−2−6−7j3−6
Solution
−22−7j3
Show Solution

Find the roots
j=−731078
Alternative Form
j≈−1.464788
Evaluate
−8−2−6−7j3−6
To find the roots of the expression,set the expression equal to 0
−8−2−6−7j3−6=0
Subtract the numbers
−10−6−7j3−6=0
Subtract the numbers
−16−7j3−6=0
Subtract the numbers
−22−7j3=0
Move the constant to the right-hand side and change its sign
−7j3=0+22
Removing 0 doesn't change the value,so remove it from the expression
−7j3=22
Change the signs on both sides of the equation
7j3=−22
Divide both sides
77j3=7−22
Divide the numbers
j3=7−22
Use b−a=−ba=−ba to rewrite the fraction
j3=−722
Take the 3-th root on both sides of the equation
3j3=3−722
Calculate
j=3−722
Solution
More Steps

Evaluate
3−722
An odd root of a negative radicand is always a negative
−3722
To take a root of a fraction,take the root of the numerator and denominator separately
−37322
Multiply by the Conjugate
37×372−322×372
Simplify
37×372−322×349
Multiply the numbers
More Steps

Evaluate
−322×349
The product of roots with the same index is equal to the root of the product
−322×49
Calculate the product
−31078
37×372−31078
Multiply the numbers
More Steps

Evaluate
37×372
The product of roots with the same index is equal to the root of the product
37×72
Calculate the product
373
Reduce the index of the radical and exponent with 3
7
7−31078
Calculate
−731078
j=−731078
Alternative Form
j≈−1.464788
Show Solution
