Question
Simplify the expression
−43eis4q3r3t3mplfd
Evaluate
(((sqrt×3)÷2)((sqrt×2)÷2))(((sqrt×2)÷2)(1÷2))simplified
Remove the parentheses
((sqrt×3)÷2)((sqrt×2)÷2)((sqrt×2)÷2)(1÷2)simplified
Rewrite the expression in exponential form
((sqrt×3)÷2)((sqrt×2)÷2)((sqrt×2)÷2)(1÷2)si3mplfed
Use the commutative property to reorder the terms
(3sqrt÷2)((sqrt×2)÷2)((sqrt×2)÷2)(1÷2)si3mplfed
Rewrite the expression
23sqrt((sqrt×2)÷2)((sqrt×2)÷2)(1÷2)si3mplfed
Use the commutative property to reorder the terms
23sqrt(2sqrt÷2)((sqrt×2)÷2)(1÷2)si3mplfed
Divide the terms
More Steps

Evaluate
2sqrt÷2
Rewrite the expression
22sqrt
Divide the terms
More Steps

Evaluate
22
Reduce the numbers
11
Calculate
1
sqrt
23sqrtsqrt((sqrt×2)÷2)(1÷2)si3mplfed
Use the commutative property to reorder the terms
23sqrtsqrt(2sqrt÷2)(1÷2)si3mplfed
Divide the terms
More Steps

Evaluate
2sqrt÷2
Rewrite the expression
22sqrt
Divide the terms
More Steps

Evaluate
22
Reduce the numbers
11
Calculate
1
sqrt
23sqrtsqrtsqrt(1÷2)si3mplfed
Divide the numbers
23sqrtsqrtsqrt×0.5si3mplfed
Evaluate the power
More Steps

Evaluate
i3
Calculate
i2×i
Calculate
−i
23sqrtsqrtsqrt×0.5s(−i)mplfed
Rewrite the expression
−23sqrtsqrtsqrt×0.5simplfed
Multiply the terms with the same base by adding their exponents
−23sqrts1+1+1qrtqrt×0.5implfed
Add the numbers
−23sqrts3qrtqrt×0.5implfed
Multiply the terms
−23sqrts3q2rtrt×0.5implfed
Multiply the terms
−23sqrts3q2r2t×t×0.5implfed
Multiply the terms
−23sqrts3q2r2t2×0.5implfed
Solution
More Steps

Evaluate
23sqrts3q2r2t2×0.5implfed
Multiply the terms
More Steps

Multiply the terms
23sqrts3
Multiply the terms
23sqrts3
Multiply the terms
23s4qrt
23s4qrtq2r2t2×0.5implfed
Multiply the terms
More Steps

Multiply the terms
23s4qrtq2
Multiply the terms
23s4qrtq2
Multiply the terms
23s4q3rt
23s4q3rtr2t2×0.5implfed
Multiply the terms
More Steps

Multiply the terms
23s4q3rtr2
Multiply the terms
23s4q3rtr2
Multiply the terms
23s4q3r3t
23s4q3r3tt2×0.5implfed
Multiply the terms
More Steps

Multiply the terms
23s4q3r3tt2
Multiply the terms
23s4q3r3t×t2
Multiply the terms
23s4q3r3t3
23s4q3r3t3×0.5implfed
Multiply the terms
More Steps

Evaluate
23s4q3r3t3×0.5
Rewrite the expression
23s4q3r3t3×21
Multiply the terms
2×23s4q3r3t3
Multiply the terms
43s4q3r3t3
43s4q3r3t3implfed
Multiply the terms
More Steps

Multiply the terms
43s4q3r3t3i
Multiply the terms
43s4q3r3t3i
Multiply the terms
43is4q3r3t3
43is4q3r3t3mplfed
Multiply the terms
43is4q3r3t3mplfed
Multiply the terms
43is4q3r3t3mplfed
Multiply the terms
43is4q3r3t3mplfed
Multiply the terms
43is4q3r3t3mplfed
Multiply the terms
More Steps

Multiply the terms
43is4q3r3t3mplfe
Multiply the terms
43is4q3r3t3mplfe
Multiply the terms
43eis4q3r3t3mplf
43eis4q3r3t3mplfd
Multiply the terms
43eis4q3r3t3mplfd
−43eis4q3r3t3mplfd
Show Solution
