How to multiply square roots in mathematics? - ProProfs Discuss
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How to multiply square roots in mathematics?

Asked by Marlon , Last updated: Apr 12, 2024

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5 Answers

D. gray

D. gray

Building buildings and building intelligence

D. gray
D. gray, Builder, Builder, Las Vegas

Answered Sep 28, 2020

There are different means to multiply square roots in mathematics, it just simply depend on the format the question takes. A major topic where you can have to solve lot of these kinds of problem is Surd.

However, check out these steps to solve your square roots multiplication problems:

If the radicands are perfect square, you can actually find the square roots of the numbers separately, and multiply your result to obtain your final answer.

If the radicands are perfect square, and they are also the same number, then your answer would be the number. For example; √78× √78=78.

If the radicand are not perfect square, and probably not the same number too, just multiply the two numbers together. The result you get would still be having the radical sign. This might be your final answer.

You can solve the above step further by factoring out any perfect square in the radicand. The perfect square is solved, while the other number remain with the radical sign.

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Isabel Mathew

Isabel Mathew

Coding is my forte plus writing and sharing my experiences online is one of my favorite hobbies.

Isabel Mathew
Isabel Mathew, Software engineer, BS(Bachelor of Science), Austin,Texas

Answered Sep 21, 2020

A number that is a square root is one that produces a specified quantity or even number when multiplied by itself, as in 10 x 10 = 100. You can multiply square roots just like whole numbers.

Sometimes you might have an integer in front of the radical sign that looks like this √
√75 can be factored as √(25×3) and you would pull out the square root of 25, which is 5
√75
= √(25×3)
5√3

The below example is multiplying numbers that are underneath the radical sign. You multiply them like they are whole regular numbers.
√15×√5
15 x 5 = 75
√15 x√5=√75

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C. Marcus

C. Marcus

C. Marcus
C. Marcus, Content Developer, Washington

Answered Sep 17, 2020

There are different things that you need to do in Math, and it can be a bit hard when you do not know how to do it.

These are the steps that you have to take:

• Multiply the different numbers that you can find inside the radical.

• Make sure that you will simplify the numbers inside.

• Once you have already simplified, continue with the multiplication process.

• Get the answer.

• Place the answer in square root form.

Once you have already done these things, you can check the answer by looking at some online calculators that will just require you to input some details.

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C. Perez

C. Perez

Just getting better day by day

C. Perez
C. Perez, Writer, Writer, Cleveland

Answered Sep 03, 2020

There will be moments when you need to place your square root in mathematics. These are just some of the things that you should do:

There will be moments when you need to place your square root in mathematics. These are just some
• When a square root of a given number to be multiplied by itself.
• The result that you will get will be the given number.
• Get the product of two square roots of two positive numbers.
• There are times when you can have an online calculator that you can use so that you will solve everything.
• There are some online calculators that are available that will come with the needed symbols that are available.

Once you have checked everything, you can have the right answer.

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F. Daniel

F. Daniel

I work for a California based MNC.

F. Daniel
F. Daniel, Content Optimization Executive, Diploma in Journalism, California

Answered Aug 27, 2020

A square root is a radical expression that does have the ability to be multiplied.

A square root is a radical expression that does have the ability to be multiplied.


Though it may
Though it may be tricky, the following steps can be followed to multiply square roots:

• First, multiply the radicands. This can be done by multiplying all of the numbers just like they are whole numbers.

• Then, factor out all of the perfect squares in the radicand, which is done by multiplying the integer

• The square root from the perfect square should be placed in front of the radical sign

• Next, square the square root

• Once squared, simplify the number down to get the answer.

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