Question
Simplify the expression
8sqrt−58s2q2r2t2
Evaluate
sqrt(204)×2(1−sqrt(204))×20
Cancel out the common factor 4
sqrt×51×2(1−sqrt(204))×20
Cancel out the common factor 4
sqrt×51×2(1−sqrt×51)×20
Use the commutative property to reorder the terms
sqrt×51×2(1−51sqrt)×20
Multiply the terms
More Steps

Evaluate
51×2×20
Multiply the numbers
52×20
Reduce the numbers
2×4
Multiply the numbers
8
sqrt×8(1−51sqrt)
Use the commutative property to reorder the terms
8sqrt(1−51sqrt)
Apply the distributive property
8sqrt×1−8sqrt×51sqrt
Any expression multiplied by 1 remains the same
8sqrt−8sqrt×51sqrt
Solution
More Steps

Evaluate
8sqrt×51sqrt
Multiply the numbers
58sqrtsqrt
Multiply the terms
58s2qrtqrt
Multiply the terms
58s2q2rtrt
Multiply the terms
58s2q2r2t×t
Multiply the terms
58s2q2r2t2
8sqrt−58s2q2r2t2
Show Solution

Factor the expression
58sqrt(5−sqrt)
Evaluate
sqrt(204)×2(1−sqrt(204))×20
Cancel out the common factor 4
sqrt×51×2(1−sqrt(204))×20
Cancel out the common factor 4
sqrt×51×2(1−sqrt×51)×20
Use the commutative property to reorder the terms
sqrt×51×2(1−51sqrt)×20
Multiply the terms
More Steps

Evaluate
51×2×20
Multiply the numbers
52×20
Reduce the numbers
2×4
Multiply the numbers
8
sqrt×8(1−51sqrt)
Use the commutative property to reorder the terms
8sqrt(1−51sqrt)
Factor the expression
8sqrt×51(5−sqrt)
Solution
58sqrt(5−sqrt)
Show Solution
