Solve (5sqrt(5) + 10sqrt(5)) * sqrt(5) irational | 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

$$( 5 \sqrt { 5 } + 10 \sqrt { 5 } ) \sqrt { 5 }$$

Evaluate

$75$

Solution Steps

Combine $5\sqrt{5}$ and $10\sqrt{5}$ to get $15\sqrt{5}$.

$$15\sqrt{5}\sqrt{5}$$

Multiply $\sqrt{5}$ and $\sqrt{5}$ to get $5$.

$$15\times 5$$

Multiply $15$ and $5$ to get $75$.

$$75$$

Factor

$3\times 5^{2}$