What is (36+sqrt(1008))/(16) ?

The solution to (36+sqrt(1008))/(16) is (3(3+sqrt(7)))/4

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simplify (36+sqrt(1008))/(16)

simplify

\frac{36 + 1008}{16}

\frac{3 ( 3 + 7 )}{4}

Decimal Notation

4.23431 \dots

Solution steps

\frac{36 + 1008}{16}

1008 = 127

= \frac{36 + 12 7}{16}

Factor out common term

12 : 12 (3 + 7)

= \frac{12 ( 3 + 7 )}{16}

Factor the number:

12 = 4 \cdot 3

= \frac{4 \cdot 3 ( 3 + 7 )}{16}

Factor the number:

16 = 4 \cdot 4

= \frac{4 \cdot 3 ( 3 + 7 )}{4 \cdot 4}

Cancel the common factor:

4

= \frac{3 ( 3 + 7 )}{4}

3 (2 x + 1) + x = - 39

- 3 x + 2 \leq - 2 (x - 1)

2 m^{3} - 6 m^{2} - 3 m + 9

y^{2} - 1

\frac{6}{3}

What is (36+sqrt(1008))/(16) ?
The solution to (36+sqrt(1008))/(16) is (3(3+sqrt(7)))/4