Question
Solve the equation
Solve for a
Solve for b
a=256a=−256
Evaluate
2a2b=75b
Rewrite the expression
2ba2=75b
Divide both sides
2b2ba2=2b75b
Divide the numbers
a2=2b75b
Divide the numbers
a2=275
Take the root of both sides of the equation and remember to use both positive and negative roots
a=±275
Simplify the expression
More Steps

Evaluate
275
To take a root of a fraction,take the root of the numerator and denominator separately
275
Simplify the radical expression
More Steps

Evaluate
75
Write the expression as a product where the root of one of the factors can be evaluated
25×3
Write the number in exponential form with the base of 5
52×3
The root of a product is equal to the product of the roots of each factor
52×3
Reduce the index of the radical and exponent with 2
53
253
Multiply by the Conjugate
2×253×2
Multiply the numbers
More Steps

Evaluate
3×2
The product of roots with the same index is equal to the root of the product
3×2
Calculate the product
6
2×256
When a square root of an expression is multiplied by itself,the result is that expression
256
a=±256
Solution
a=256a=−256
Show Solution
