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3 years ago

7

Explain how to multiply square roots

2 answers:

Aleks [24]3 years ago

7 0

When multiplying square roots, we simply multiply the values inside the square roots. So for example, let's look at the problem below.

√a · √a

So the square root of <em>a</em> times the square root of <em>a</em> equals the square root of <em>a</em> time <em>a</em> or √a² and the square root of a² is simply <em>a</em>.

Dmitry_Shevchenko [17]3 years ago

5 0

Answer:

To multiply square roots, first multiply the radicands, or the numbers underneath the radical sign. If there are any coefficients in front of the radical sign, multiply them together as well. Finally, if the new radicand can be divided out by a perfect square, factor out this perfect square and simplify it.

Step-by-step explanation:

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Benjamin threw a rock straight up from a cliff that was 48 ft above the water. If the height of the rock h, in feet, after t s

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Answer: It will take 4 seconds for the rock to hit the water.

Step-by-step explanation:

Given : Benjamin threw a rock straight up from a cliff that was 48 ft above the water.

If the height of the rock h, in feet, after t seconds is given by the equation

$h = -16 t^2+ 52 t + 48$

To find : Time taken for the rock to hit the water.

When rock hit the water height becomes zero , i.e. put h = 0 , we get

$-16 t^2+ 52 t + 48 =0$

Divide equation by 2 , we get

$-8t^2+26t+24=0$

The Laue of x for ax²+bx+c =0 is $x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

So , $t=\frac{-26\pm\sqrt{(26^{2}-4(-8)(24))}}{2(-8)}$

$t=\dfrac{-26\pm 38}{-16}\\\\ t=-\dfrac{-26+38}{-16}=-0.75\ \ t=\dfrac{-26-38}{-16}=4$

Since t cannot be negative , so t= 4

Hence, it will take 4 seconds for the rock to hit the water.

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3 years ago