Solve sqrt((25)^(2)+(25)^(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

$$\sqrt{ { 25 }^{ 2 } + { 25 }^{ 2 } }$$

Evaluate

$25\sqrt{2}\approx 35.355339059$

Solution Steps

Calculate $25$ to the power of $2$ and get $625$.

$$\sqrt{625+25^{2}}$$

Calculate $25$ to the power of $2$ and get $625$.

$$\sqrt{625+625}$$

Add $625$ and $625$ to get $1250$.

$$\sqrt{1250}$$

Factor $1250=25^{2}\times 2$. Rewrite the square root of the product $\sqrt{25^{2}\times 2}$ as the product of square roots $\sqrt{25^{2}}\sqrt{2}$. Take the square root of $25^{2}$.

$$25\sqrt{2}$$