# Find the square root of 8-2√5​

The square root of 8 - 2√5 is

Step-by-step explanation:

To find the square root

8-2√5 must be in the form √a - √b where a > b

√ 8 - 2√5 = √a - √b

Square both sides

8 - 2√5 = (√a - √b)²

That's

8 - 2√5 = (a + b) - 2√ab

Since the two surd expressions are equal we can equate them

That's

8 = a + b ........ 1

a = 8 - b ........ 2

2√5 = 2√ab

Simplify

Divide both sides by 2

√5 = √ab

square both sides

We have

5 = ab ....... 3

Substitute a = 8 - b into equation 3

5 = ( 8 - b)b

5 = 8b - b²

b² - 8b + 5 = 0

After solving

b = 4 + √ 11 or 4 - √ 1

Since b is less than a

b = 4 - √11

a = 4 + √11

So the square root of 8 - 2√5 is

Hope this helps you.

1.88

Step-by-step explanation:

8-2√5=3.527864045

square root of 3.527864045=1.87826090972

the question will probably want it to 2d.p (decimal places) which means the answer would be 1.88

## Related Questions

Just perform the given functions:(x+7)/x=1+ 7/x

Calculate how wide each space should be.The lot is 41 feet wide.

The dividers are each 6 feet wide.

The dividers need to go evenly in

Each space should be 6.83333 feet wide.

Step-by-step explanation:

a) Data and Calculations:

Lot = 41 feet wide

Dividers = 6 feet wide

For even spacing, 41/6 = 6.83333 feet

b) The quotient is equal to the dividend divided by the divisor.  Since the lot is 41 feet wide, the quotient, when divided by some 6-feet wide dividers, will be equal to 6.83333 or 7 feet wide.  This implies that each divider will occupy a space equivalent to 7 feet or specifically 6.83333 feet wide.

Each space should be 23 feet wide.

### Explanation:

To calculate how wide each space should be, subtract the total width of the dividers from the width of the lot. In this case, the lot is 41 feet wide and each divider is 6 feet wide. So the space needed for the dividers would be:

1. 6 feet + 6 feet + 6 feet = 18 feet

Now subtract the space needed for the dividers from the width of the lot:

1. 41 feet - 18 feet = 23 feet

Therefore, each space should be 23 feet wide.

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Principal: $300 annual interest rate: 5% time: 4 yr​ ### Answers Answer:$364.65

Step-by-step explanation:

5% = 0.05 per year

300(1+0.05/1)(1) (4)

= 364.65

87 1/3% into a fraction

87 1/3 / 100 or 8.73/10

Step-by-step explanation:

Since this is a percent, put it out of 100

87 1/3 / 100 or 8.73/10

Solve: x^2 – 16x + 63 < 0 ​

7 < x < 9

Step-by-step explanation:

x^2 – 16x + 63 < 0

this is a parabola that opens up.

The parabola will be < 0 for values between the roots.

to picture this see the graph below.

Factor

(x - 7)(x - 9) < 0

Roots

x = {7, 9}

solution

7 < x < 9

The sum of three consecutive integers equals 39 more than the least of the integers. Find the integers