What is ((sqrt(2))/2)^2+((sqrt(2))/2)^2 ?

The solution to ((sqrt(2))/2)^2+((sqrt(2))/2)^2 is 1

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simplify ((sqrt(2))/2)^2+((sqrt(2))/2)^2

simplify

(\frac{2}{2})^{2} + (\frac{2}{2})^{2}

1

Solution steps

(\frac{2}{2})^{2} + (\frac{2}{2})^{2}

Add similar elements:

(\frac{2}{2})^{2} + (\frac{2}{2})^{2} = 2 (\frac{2}{2})^{2}

= 2 (\frac{2}{2})^{2}

Apply exponent rule:

(\frac{a}{b})^{c} = \frac{a ^{c}}{b ^{c}}

(\frac{2}{2})^{2} = \frac{( 2 ) ^{2}}{2 ^{2}}

= 2 \cdot \frac{( 2 ) ^{2}}{2 ^{2}}

2^{2} = 4

= 2 \cdot \frac{( 2 ) ^{2}}{4}

\frac{( 2 ) ^{2}}{4} = \frac{1}{2}

= 2 \cdot \frac{1}{2}

Convert element to fraction:

2 = \frac{2}{1}

= \frac{2}{1} \cdot \frac{1}{2}

Cross-cancel common factor:

2

= 1

(3 x - 1) (x - 3)

64 - 125 x^{3}

\frac{30 x ^{4} y ^{5}}{50 x ^{6} y ^{7}}

\frac{1}{8} \times 2

37 - 28

What is ((sqrt(2))/2)^2+((sqrt(2))/2)^2 ?
The solution to ((sqrt(2))/2)^2+((sqrt(2))/2)^2 is 1