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NISA [10]
2 years ago
6

Simplify surds √50+√√72-√√128​

Mathematics
1 answer:
34kurt2 years ago
3 0

Answer:

3\sqrt{2}

Step-by-step explanation:

Using the rule of radicals

\sqrt{a} × \sqrt{b} ⇔ \sqrt{ab}

Simplify the given radicals

\sqrt{50}

= \sqrt{25(2)}

= \sqrt{25} × \sqrt{2}

= 5\sqrt{2}

------------------------

\sqrt{72}

= \sqrt{36(2)}

= \sqrt{36} × \sqrt{2}

= 6\sqrt{2}

-----------------------

\sqrt{128}

= \sqrt{64(2)}

= \sqrt{64} × \sqrt{2}

= 8\sqrt{2}

Then

\sqrt{50} + \sqrt{72} - \sqrt{128}

= 5\sqrt{2} + 6\sqrt{2} - 8\sqrt{2}

= 11\sqrt{2} - 8\sqrt{2}

= 3\sqrt{2}

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Convert the fraction part of the mixed number to a decimal,Divide the numerator by the denominator.

8 0
2 years ago
Solve 1.10 + 2.22g =
Brums [2.3K]

Answer:

3.32 g

Step-by-step explanation:

1.10

2.22  

---------

3.32

(As both the numbers, have the same number of digits, you just need to add them like you do normal addition)

Answered by Guathmath

8 0
3 years ago
calculeaza lungimea segmentului ab in fiecare dintre cazuri:A(1,5);B(4,5);A(2,-5),B(2,7);A(3,1)B(-1,4);A(-2,-5)B(3,7);A(5,4);B(-
Tatiana [17]

Answer:

1. 3; 2. 12; 3. 5; 4. 13; 5. 10; 6. 10

Step-by-step explanation:

We can use the distance formula to calculate the lengths of the line segments.

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}

1. A (1,5), B (4,5) (red)

d = \sqrt{(x_{2} - x_{1}^{2}) + (y_{2} - y_{1})^{2}} = \sqrt{(4 - 1)^{2} + (5 - 5)^{2}}\\= \sqrt{3^{2} + 0^{2}} = \sqrt{9 + 0} = \sqrt{9} = \mathbf{3}

2. A (2,-5), B (2,7) (blue)

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(2 - 2)^{2} + (7 - (-5))^{2}}\\= \sqrt{0^{2} + 12^{2}} = \sqrt{0 + 144} = \sqrt{144} = \mathbf{12}

3. A (3,1), B (-1,4 ) (green)

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(-1 - 3)^{2} + (4 - 1)^{2}}\\= \sqrt{(-4)^{2} + 3^{2}} = \sqrt{16 + 9} = \sqrt{25} = \mathbf{5}

4. A (-2,-5), B (3,7) (orange)

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(3 - (-2))^{2} + (7 - (-5))^{2}}\\= \sqrt{5^{2} + 12^{2}} = \sqrt{25 + 144} = \sqrt{169} = \mathbf{13}

5. A (5,4), B (-3,-2) (purple)

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(-3 - 5)^{2} + (-2 - 4)^{2}}\\= \sqrt{(-8)^{2} + (-6)^{2}} = \sqrt{64 + 36} = \sqrt{100} = \mathbf{10}

6. A (1,-8), B (-5,0) (black)

d = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}} = \sqrt{(-5 - 1)^{2} + (0 - (-8))^{2}}\\-= \sqrt{(-6)^{2} + (-8)^{2}} = \sqrt{36 + 64} = \sqrt{100} = \mathbf{10}

6 0
3 years ago
4x^2-400=0<br><br> square roots and solving quadratics
posledela

Answer:

x = ±10

Step-by-step explanation:

4x² - 400 = 0

Add 400 to both sides

4x² = 400

Divide both sides by 4

x² = 100

Take the square root of both sides

x = ±10

8 0
3 years ago
Shapes that always have perpendicular lines
amm1812
A couple of shapes that have perpendicular lines are right triangles, and rectangles.
6 0
3 years ago
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