The square source of 980 is expressed together √980 in the radical kind and together (980)½ or (980)0.5 in the exponent form. The square root of 980 rounded approximately 6 decimal areas is 31.304952. It is the positive solution that the equation x2 = 980. We have the right to express the square source of 980 in its lowest radical form as 14 √5.

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Square root of 980: 31.304951684997057Square source of 980 in exponential form: (980)½ or (980)0.5Square root of 980 in radical form: √980 or 14 √5

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1.What is the Square root of 980?
2.How to find the Square source of 980?
3.Is the Square root of 980 Irrational?
4.FAQs

The square root of 980, (or root 980), is the number which once multiplied by itself offers the product together 980. Therefore, the square root of 980 = √980 = 14 √5 = 31.304951684997057.

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Value that √980 by Long department Method

Explanation:

Forming pairs: 09 and 80Find a number Y (3) such that whose square is carry down the following pair 80, come the ideal of the remainder 0. The brand-new dividend is now 80.Add the last digit the the quotient (3) come the divisor (3) i.e. 3 + 3 = 6. To the appropriate of 6, uncover a number Z (which is 1) such that 6Z × Z divide 80 through 61 v the quotient together 1, offering the remainder = 80 - 61 × 1 = 80 - 61 = 19.Now, let's discover the decimal areas after the quotient 31.Bring down 00 come the appropriate of this remainder 19. The brand-new dividend is currently 1900.Add the last digit the quotient come divisor i.e. 1 + 61 = 62. Come the best of 62, find a number Z (which is 3) such the 62Z × Z divide 1900 through 623 v the quotient together 3, providing the remainder = 1900 - 623 × 3 = 1900 - 1869 = 31.Bring under 00 again. Repeat above steps for finding much more decimal areas for the square root of 980.

Therefore, the square root of 980 through long department method is 31.3 approx.


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Example 1: resolve the equation x2 − 980 = 0

Solution:

x2 - 980 = 0 i.e. X2 = 980x = ±√980Since the worth of the square root of 980 is 31.305,⇒ x = +√980 or -√980 = 31.305 or -31.305.


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FAQs ~ above the Square source of 980

What is the value of the Square source of 980?

The square root of 980 is 31.30495.

Why is the Square root of 980 an Irrational Number?

Upon prime factorizing 980 i.e. 22 × 51 × 72, 5 is in odd power. Therefore, the square root of 980 is irrational.

What is the Square root of 980 in most basic Radical Form?

We should express 980 together the product the its prime components i.e. 980 = 2 × 2 × 5 × 7 × 7. Therefore, √980 = √2 × 2 × 5 × 7 × 7 = 14 √5. Thus, the square source of 980 in the lowest radical type is 14 √5.

What is the Square root of -980?

The square root of -980 is an imaginary number. It have the right to be composed as √-980 = √-1 × √980 = i √980 = 31.304iwhere i = √-1 and it is dubbed the imagine unit.

See more: Which Salt Is Produced When Sulfuric Acid And Calcium Hydroxide React Completely?

If the Square source of 980 is 31.305. Find the worth of the Square root of 9.8.

Let us represent √9.8 in p/q kind i.e. √(980/100) = 9.8/10 = 3.130. Hence, the value of √9.8 = 3.130

Evaluate 8 add to 6 square root 980

The offered expression is 8 + 6 √980. We understand that the square source of 980 is 31.305. Therefore, 8 + 6 √980 = 8 + 6 × 31.305 = 8 + 187.830 = 195.830