Determine whether sq root of 77 is rational or irrational. Answer A) irrational or B) rational?

Question

also.....
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Determine whether the sq root of a negative symbol is rational or irrational. Answer A) Irrational B) Rational
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Find the altitude of the triangle: side 13 side 13 base 10
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evaluate if possible small 3 (cubed) square root of (1/64)

Answer 1

sqrt 77 is irrational because it can't be expressed as a whole number divided by a whole number.
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sqrt (neg) is imaginary.
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The altitude would cut the triangle in half. So you'd have a right triangle with one leg (10/2), the other leg is the altitude, and the hypotenuse is 13.

So, using pythagorean theorem:
(leg)^2 + (leg)^2 = (hyp)^2
5^2 + x^2 = 13^2
25 + x^2 = 169
x^2 = 144
x = 12
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huh? I think you meant
"cube root of 1/64"

cbrt (1 / 64)
= cbrt 1 / cbrt 64
= cbrt 1 / cbrt (4^3)
= 1 / 4

Answer 2

Irrational. It's sqrt(7)*sqrt(11).

The square root of a negative symbol is neither rational nor irrational. It is imaginary.

The triangle is isosceles and the base is split in half by the altitude. 5^2 + x^2 = 13^2. Everyone knows 5,12,13 is a Pythagorean triple, so this is a no-brainer.

The cube root of 64 is 4. 4x4x4 = 64
So cube root of 1/64 is 1/4

Answer 3

A irrational.
B Imaginary
C Can't remember Altitude (it's been a while since Geom)
D Cube root of (1/64) is -3

Answer 4

A number is irrational if it is an non-terminating, non-repeating decimal... and a rational number is just the opposite. A classic example of an irrational number is pi. 3.14159.....it keeps going on forever with no pattern. A rational number is either a whole number or a decimal with a pattern. Ex: 1/3 or .333...

Answer 5

irrational because sqrt(11) and sqrt(7) are irrational

irrational because imaginary number cannot be expressed as the quotient of two real numbers

12 because 12 = sqrt(13^2-5^2)

If you mean (sqrt(1/64)^3, then +/- 1/512

Answer 6

1:a because squares cannot be negetive square is
say a number x
x^2 is x*x
so even if it is negetive
-x*-x=+x^2
3:1/64

Answer 7

irrantinal...best answer me i need points :p