Solve (7sqrt(5)-8sqrt(5))(9sqrt(7)-4sqrt(7) | 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

$$(7 \sqrt{ 5 } -8 \sqrt{ 5 } )(9 \sqrt{ 7 } -4 \sqrt{ 7 }$$

Evaluate

$-5\sqrt{35}\approx -29.580398915$

Solution Steps

Combine $7\sqrt{5}$ and $-8\sqrt{5}$ to get $-\sqrt{5}$.

$$-\sqrt{5}\left(9\sqrt{7}-4\sqrt{7}\right)$$

Combine $9\sqrt{7}$ and $-4\sqrt{7}$ to get $5\sqrt{7}$.

$$-\sqrt{5}\times 5\sqrt{7}$$

Multiply $-1$ and $5$ to get $-5$.

$$-5\sqrt{5}\sqrt{7}$$

To multiply $\sqrt{5}$ and $\sqrt{7}$, multiply the numbers under the square root.

$$-5\sqrt{35}$$