how do you simplify the square root of 60

How do you simplify the square root of 60?

• Find factors of 60 under the root. √2⋅2⋅5⋅3=√ 60.
• Rewrite it in the manner of exponential numbers. √22⋅5⋅3.
• Cancel exponential numbers and roots. 2√5⋅3=2√15.

Full Answer

How do you simplify a square root?

Summary

• The symbol over the -60 is the square root, or radical sign
• -60 has a perfect square factor of 4, so it can be simplified
• If we factor out a -1, then we can take the square root of 60
• The prime factorization of 60 is 2 • 2 • 3 • 5
• The Product Property allows you to break up the radical
• 'i' is the imaginary unit and equals the square root of -1

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How do you simplify square roots?

• Remove any grouping symbol such as brackets and parentheses by multiplying factors.
• Use the exponent rule to remove grouping if the terms are containing exponents.
• Combine the like terms by addition or subtraction.
• Combine the constants.

What is the square root of 61 simplified?

The square root of 61 is expressed as √61 in the radical form and as (61) ½ or (61) 0.5 in the exponent form. The square root of 61 rounded up to 7 decimal places is 7.8102497. It is the positive solution of the equation x 2 = 61. Square Root of 61: 7.810249675906654.

How do you solve a square root equation?

To solve square root problems, understand that you are finding the number that, when multiplied by itself, equals the number in the square root. For quick recall, memorize the first 10-12 perfect squares, so that you recognize the square root of numbers like 9, 25, 49, or 121.

How do you find the square of 60?

0:091:08The Square Root of 60 - YouTubeYouTubeStart of suggested clipEnd of suggested clipAnd then we're just going to simplify the inside 3 times 5 is 15. So the square root of 60 equals toMoreAnd then we're just going to simplify the inside 3 times 5 is 15. So the square root of 60 equals to root 15.

What is the square root lies of 60?

Benchmark numbers can be used to state that the square root of 60 is between 6 and 7. The square root of 60, estimated to two decimal places is 7.75.

How do you simplify square roots?

3:5510:46How To Simplify Square Roots - YouTubeYouTubeStart of suggested clipEnd of suggested clipOne thing that you could do is you can break up the number eighteen into two smaller numbers one ofMoreOne thing that you could do is you can break up the number eighteen into two smaller numbers one of which contains a perfect square.

What squared equals 60?

List of Perfect SquaresNUMBERSQUARESQUARE ROOT573,2497.550583,3647.616593,4817.681603,6007.74696 more rows