Question
Simplify the expression
60v2−8
Evaluate
6v2×10−8
Solution
60v2−8
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Factor the expression
4(15v2−2)
Evaluate
6v2×10−8
Multiply the terms
60v2−8
Solution
4(15v2−2)
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Find the roots
v1=−1530,v2=1530
Alternative Form
v1≈−0.365148,v2≈0.365148
Evaluate
6v2×10−8
To find the roots of the expression,set the expression equal to 0
6v2×10−8=0
Multiply the terms
60v2−8=0
Move the constant to the right-hand side and change its sign
60v2=0+8
Removing 0 doesn't change the value,so remove it from the expression
60v2=8
Divide both sides
6060v2=608
Divide the numbers
v2=608
Cancel out the common factor 4
v2=152
Take the root of both sides of the equation and remember to use both positive and negative roots
v=±152
Simplify the expression
More Steps

Evaluate
152
To take a root of a fraction,take the root of the numerator and denominator separately
152
Multiply by the Conjugate
15×152×15
Multiply the numbers
More Steps

Evaluate
2×15
The product of roots with the same index is equal to the root of the product
2×15
Calculate the product
30
15×1530
When a square root of an expression is multiplied by itself,the result is that expression
1530
v=±1530
Separate the equation into 2 possible cases
v=1530v=−1530
Solution
v1=−1530,v2=1530
Alternative Form
v1≈−0.365148,v2≈0.365148
Show Solution
