The square root of 85 is expressed as √85 in the radical kind and together (85)½ or (85)0.5 in the exponent form. The square source of 85 rounded up to 10 decimal locations is 9.2195444573. It is the hopeful solution that the equation x2 = 85.

You are watching: What is the square root of 85 to the nearest tenth

Square source of 85: 9.219544457292887Square root of 85 in exponential form: (85)½ or (85)0.5Square root of 85 in radical form: √85
 1 What Is the Square root of 85? 2 IsSquare root of 85Rational or Irrational? 3 How to find the Square source of 85? 4 Challenging Questions 5 FAQs ~ above Square root of 85

The square source of a number is the number which, whenmultiplied come itself, offers the initial number. The square source of 85 is 9.21 and is displayed as√85 = 9.21. The value of the square source of 85 lies in between the totality numbers 9 and 10.

The square source of 85 is a non-terminating decimal, i.e., √85 = 9.219544.Also, it can not be expressed in the type of a fraction p/q, and also hence, it is one irrational number.

The number 85 is not a perfect square, therefore its valuecan be approximatedbetween 9 and also 10. √85 = 9.21. The specific value of the square root of 85 can be calculate using long division. This technique to find the square source of 85 is similar to the common division, whereby the quotient to represent the square root value. Further, because 85 is no a perfect square, the remainder is never ever 0 and also the division process is concludedafter a couple of steps.

### Square root of 85ByLong Division

The square source of 85 have the right to be found by the adhering to long department method. Let's check out the steps to discover the square source of 85 by the long department method.

Step 3:For the next divisor, add the previous divisor v the quotient. (9 + 9 = 18); place it together the brand-new divisor with a empty on the right.Step 4:Put a decimal after ~ quotient 9andbring down two zeros to place it ~ 4 so that it becomes 400.The blank needs to it is in filled with a number, such that once the new divisor is multiplied v the new quotient, the product is less than or equal to the dividend. <182 × 2 = 364> Subtract 364 indigenous 400 <400 - 364 = 36>.Step 5:Bring down 2 zeros again and place the after 36, so the it becomes 3600. Take the brand-new quotient 2 and include it to 182 <182 + 2 = 184>. Repeating the over steps, we need to fill the empty with a number such that when the brand-new divisor is multiplied through the new quotient, the product is much less than or same to the dividend 3600.Step 6:Repeat the process till we obtain the remainder equal to zero. This is how the square source of 85 approximately two areas is derived by the long department method. Explore square roots utilizing illustrations and also interactive examples

Challenging Questions:

Find the square root of√8585Simplify (((√85)½)¾)

## Square root of 85Solved Examples

Example 1:Jack demands to reduced a square-shaped cardboard for his institution assignment. The compelled area the the cardboard is 85 square inches. Can you assist Jack uncover the length of every side the the cardboard?

Solution

Given the the area that the cardboard is 85 square inches.Area the the square =x²Let's calculatethe value of x.x² = 85x = √85x = 9.2Thus, the length of each side that the cardboard is 9.2 inches.

Example 2

A cultural club to be formed and the members determined to collection an yearly subscription fee. The annual subscription fees equalsthe total variety of members in the club. If the total subscription fee gathered is \$7225, discover the variety of members in the club.

See more: Why Did It Take So Long For Psychology To Be Recognized ? And What Things Helped It Get Recognized

Solution:

Given the the number of members in the club is same to the value of the subscription amount per member.Let the number of members in the society = Subscription per member = xTotal subscription obtained = \$7225Number the members X subscription per member = \$7225x × x = 7225x² = 7225x = √7225x = √(85 × 85)x = 85Thus, thesubscription every member is \$85.