Solve B = sqrt(2sqrt(100) + 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

$$B=\sqrt{2\sqrt{100}+7}$$

Solve for B

$B=3\sqrt{3}\approx 5.196152423$

Steps for Solving Linear Equation

Calculate the square root of $100$ and get $10$.

$$B=\sqrt{2\times 10+7}$$

Multiply $2$ and $10$ to get $20$.

$$B=\sqrt{20+7}$$

Add $20$ and $7$ to get $27$.

$$B=\sqrt{27}$$

Factor $27=3^{2}\times 3$. Rewrite the square root of the product $\sqrt{3^{2}\times 3}$ as the product of square roots $\sqrt{3^{2}}\sqrt{3}$. Take the square root of $3^{2}$.

$$B=3\sqrt{3}$$

Assign B

$B≔3\sqrt{3}$