Solve (2 - sqrt(3)) ^ 2 रेखा पर | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$( 2 - \sqrt { 3 } ) ^ { 2 }$$

Evaluate

$7-4\sqrt{3}\approx 0.07179677$

Solution Steps

Use binomial theorem $\left(a-b\right)^{2}=a^{2}-2ab+b^{2}$ to expand $\left(2-\sqrt{3}\right)^{2}$.

$$4-4\sqrt{3}+\left(\sqrt{3}\right)^{2}$$

The square of $\sqrt{3}$ is $3$.

$$4-4\sqrt{3}+3$$

Add $4$ and $3$ to get $7$.

$$7-4\sqrt{3}$$

Expand

$7-4\sqrt{3}$

Solution Steps

Use binomial theorem $\left(a-b\right)^{2}=a^{2}-2ab+b^{2}$ to expand $\left(2-\sqrt{3}\right)^{2}$.

$$4-4\sqrt{3}+\left(\sqrt{3}\right)^{2}$$

The square of $\sqrt{3}$ is $3$.

$$4-4\sqrt{3}+3$$

Add $4$ and $3$ to get $7$.

$$7-4\sqrt{3}$$