Solve 2sqrt(16)+3sqrt(50)-15sqrt(16) | 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

$$2 \sqrt{ 16 } +3 \sqrt{ 50 } -15 \sqrt{ 16 }$$

Evaluate

$15\sqrt{2}-52\approx -30.786796564$

Solution Steps

Calculate the square root of $16$ and get $4$.

$$2\times 4+3\sqrt{50}-15\sqrt{16}$$

Multiply $2$ and $4$ to get $8$.

$$8+3\sqrt{50}-15\sqrt{16}$$

Factor $50=5^{2}\times 2$. Rewrite the square root of the product $\sqrt{5^{2}\times 2}$ as the product of square roots $\sqrt{5^{2}}\sqrt{2}$. Take the square root of $5^{2}$.

$$8+3\times 5\sqrt{2}-15\sqrt{16}$$

Multiply $3$ and $5$ to get $15$.

$$8+15\sqrt{2}-15\sqrt{16}$$

Calculate the square root of $16$ and get $4$.

$$8+15\sqrt{2}-15\times 4$$

Multiply $-15$ and $4$ to get $-60$.

$$8+15\sqrt{2}-60$$

Subtract $60$ from $8$ to get $-52$.

$$-52+15\sqrt{2}$$