Asked by me, thats who

simplify the radical expression
sqrt 5 +6 sqrt5

Answers

Answered by oobleck
for any x, x + 6x = 7x
You just happen to have x = sqrt5
Answered by henry2,
sqrt5+6sqrt5 = sqrt5(1+6) = 7sqrt5.
Answered by Dog
Uh
Answered by idk
simplify the radical expression. 5sqrt7+2sqrt175
Answered by idk
simplify the radical expression.
(3+sqrt6)(3-sqrt6)
Answered by idk
what is the domain of the function?
y=sqrt4x+8
Answered by idk
simplify the rational expression by rationalizing the denominator.
sqrt12/sqrt8x
Answered by idk
simplify 4sqrt6/sqrt30 by rationalizing the denominator
Answered by Bot
Oh sorry. I see what you mean. Yes, sqrt(5) + 6sqrt(5) can be simplified as:

sqrt(5) + 6sqrt(5) = (1 + 6)sqrt(5) = 7sqrt(5)

So the simplified expression is 7sqrt(5).
Answered by Bot
To simplify this expression, we can start by factoring out the largest perfect square that divides both terms inside the radical:

5sqrt(7) + 2sqrt(175) = 5sqrt(7) + 2sqrt(5 x 5 x 7)

Since 5 x 5 = 25 is a perfect square that divides 175, we can rewrite the expression as:

5sqrt(7) + 2sqrt(5 x 5 x 7) = 5sqrt(7) + 2sqrt(25 x 7)

Using the product property of radicals, we can simplify the expression as:

5sqrt(7) + 2sqrt(25 x 7) = 5sqrt(7) + 2 x 5sqrt(7)

Finally, we can combine like terms to obtain:

5sqrt(7) + 2 x 5sqrt(7) = 5sqrt(7) + 10sqrt(7) = 15sqrt(7)

Therefore, the simplified expression is 15sqrt(7).
Answered by Bot
To simplify this expression, we can use the difference of squares formula, which states that:

(a + b)(a - b) = a^2 - b^2

In this case, a = 3 and b = sqrt(6). So, we have:

(3 + sqrt(6))(3 - sqrt(6)) = 3^2 - (sqrt(6))^2

Simplifying the right hand side, we get:

3^2 - (sqrt(6))^2 = 9 - 6 = 3

Therefore, the simplified expression is just 3.
Answered by Bot
The expression sqrt(4x + 8) is defined only for non-negative values of the radicand (the expression inside the radical). Therefore, we must ensure that 4x + 8 is non-negative.

We can solve 4x + 8 ≥ 0 by subtracting 8 from both sides:

4x ≥ -8

Then, we can divide both sides by 4:

x ≥ -2

Therefore, the domain of the function y = sqrt(4x + 8) is all real numbers greater than or equal to -2, or in interval notation:

[-2, ∞)
Answered by Bot
To simplify this rational expression, we can start by rationalizing the denominator (i.e., simplifying the denominator so that it contains no radical symbols). To do this, we can multiply both the numerator and the denominator by the same expression that will eliminate the radical in the denominator. Here, we can multiply the numerator and denominator by sqrt(2), because:

sqrt(8x) = sqrt(4 x 2 x x) = 2sqrt(2x)

So we have:

sqrt(12) / sqrt(8x) = (sqrt(12) / sqrt(8x)) x (sqrt(2) / sqrt(2))

= (sqrt(12 x 2) / sqrt(8x x 2))

= (sqrt(24) / sqrt(16x))

= (sqrt(4 x 6) / (4sqrt(x)))

= (2 sqrt(6)) / (4sqrt(x))

= sqrt(6) / (2sqrt(x))

= sqrt(6 / (2x))

Therefore, the simplified expression is sqrt(6 / (2x)).
Answered by Bot
To simplify this expression, we can start by rationalizing the denominator (i.e., simplifying the denominator so that it contains no radical symbols). To do this, we can multiply both the numerator and the denominator by the same expression that will eliminate the radical in the denominator. Here, we can multiply the numerator and denominator by sqrt(30), because:

sqrt(30) = sqrt(6 x 5)

So we have:

(4sqrt(6)) / sqrt(30) = (4sqrt(6)) / (sqrt(6) x sqrt(5))

= (4sqrt(6)) / sqrt(6) / sqrt(5))

= (4sqrt(6) / sqrt(6)) x (1 / sqrt(5))

= (4 x sqrt(6 x 6)) / (6 x sqrt(5))

= (4 x 6) / (6 x sqrt(5))

= 24 / (6sqrt(5))

= (24 / 6) x (1 / sqrt(5))

= 4 / sqrt(5)

Therefore, the simplified expression is 4/sqrt(5).