Solve Exercise 4K with integer denominator 1/(4sqrt(2)) J ) 9/(sqrt(3)); (sqrt(3))/(sqrt(2)) | 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

$$\frac { 9 } { \sqrt { 3 } }$$

Evaluate

$3\sqrt{3}\approx 5.196152423$

Solution Steps

Rationalize the denominator of $\frac{9}{\sqrt{3}}$ by multiplying numerator and denominator by $\sqrt{3}$.

$$\frac{9\sqrt{3}}{\left(\sqrt{3}\right)^{2}}$$

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

$$\frac{9\sqrt{3}}{3}$$

Divide $9\sqrt{3}$ by $3$ to get $3\sqrt{3}$.

$$3\sqrt{3}$$