What is sqrt(8834806-5944\sqrt{2022)} ?

The solution to sqrt(8834806-5944\sqrt{2022)} is 2972-sqrt(2022)

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Popular >

simplify sqrt(8834806-5944\sqrt{2022)}

simplify

8834806 - 59442022

2972 - 2022

Decimal Notation

2927.03334 \dots

Solution steps

8834806 - 59442022

= 2022 - 59442022 + 8832784

= (2022)^{2} - 59442022 + (8832784)^{2}

8832784 = 2972

= (2022)^{2} - 59442022 + 297 2^{2}

22022 \cdot 2972 = 59442022

= (2022)^{2} - 22022 \cdot 2972 + 297 2^{2}

Apply Perfect Square Formula:

(a - b)^{2} = a^{2} - 2 ab + b^{2}

(2022)^{2} - 22022 \cdot 2972 + 297 2^{2} = (2022 - 2972)^{2}

= (2022 - 2972)^{2}

Apply exponent rule:

(- a)^{n} = a^{n},

n

is even

(2022 - 2972)^{2} = (2972 - 2022)^{2}

= (2972 - 2022)^{2}

Apply radical rule:

(2972 - 2022)^{2} = 2972 - 2022

= 2972 - 2022

3.61

2 x 48 x^{3} + 9 3 x^{5}

3^{\frac{9}{2}}

- i \cdot + i

∣ 4 - 5 ∣

What is sqrt(8834806-5944\sqrt{2022)} ?
The solution to sqrt(8834806-5944\sqrt{2022)} is 2972-sqrt(2022)