Solve sqrt(4 * 7 ^ 21 + (7 ^ 21 - 1) ^ 2) - 7 ^ 21 | 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

$$\sqrt{4\times7^{21}+(7^{21}-1)^{2}}-7^{21}$$

Evaluate

$1$

Solution Steps

Calculate $7$ to the power of $21$ and get $558545864083284007$.

$$\sqrt{4\times 558545864083284007+\left(7^{21}-1\right)^{2}}-7^{21}$$

Multiply $4$ and $558545864083284007$ to get $2234183456333136028$.

$$\sqrt{2234183456333136028+\left(7^{21}-1\right)^{2}}-7^{21}$$

Calculate $7$ to the power of $21$ and get $558545864083284007$.

$$\sqrt{2234183456333136028+\left(558545864083284007-1\right)^{2}}-7^{21}$$

Subtract $1$ from $558545864083284007$ to get $558545864083284006$.

$$\sqrt{2234183456333136028+558545864083284006^{2}}-7^{21}$$

Calculate $558545864083284006$ to the power of $2$ and get $311973482284542370184238593655408036$.

$$\sqrt{2234183456333136028+311973482284542370184238593655408036}-7^{21}$$

Add $2234183456333136028$ and $311973482284542370184238593655408036$ to get $311973482284542372418422049988544064$.

$$\sqrt{311973482284542372418422049988544064}-7^{21}$$

Calculate the square root of $311973482284542372418422049988544064$ and get $558545864083284008$.

$$558545864083284008-7^{21}$$

Calculate $7$ to the power of $21$ and get $558545864083284007$.

$$558545864083284008-558545864083284007$$

Subtract $558545864083284007$ from $558545864083284008$ to get $1$.

$$1$$

Factor

$1$