If a 3-storey building is 24 meters high, using the formula: d = 3 h 2 d\ =\sqrt{\frac{3h}{2}} d = 2 3 h <path d="M424,2478c-1.3,-0.7,-38.5,-172,-111.5,-514c-73, -342,-109.8,-513.3,-110.5,-514c0,-2,-10.7,14.3,-32,49c-4.7,7.3,-9.8,15.7,-15.5, 25c-5.7,9.3,-9.8,16,-12.5,20s-5,7,-5,7c-4,-3.3,-8.3,-7.7,-13,-13s-13,-13,-13, -13s76,-122,76,-122s77,-121,77,-121s209,968,209,968c0,-2,84.7,-361.7,254,-1079 c169.3,-717.3,254.7,-1077.7,256,-1081c4,-6.7,10,-10,18,-10H400000v40H1014.6 s-87.3,378.7,-272.6,1166c-185.3,787.3,-279.3,1182.3,-282,1185c-2,6,-10,9,-24,9 c-8,0,-12,-0.7,-12,-2z M1001 80H400000v40H1014z"> For sight distance where d is the distance in miles and h is the height where the person is, how far can you see the building on a clear day?

6 m i l e s 6\ miles 6 m i l e s

8 m i l e s 8\ miles 8 m i l e s

36 m i l e s 36\ miles 3 6 m i l e s

6 2 m i l e s 6\sqrt{2\ }\ miles 6 2 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> m i l e s

Problems Involving Radicals

Authored by Lady Reyes

Mathematics

9th - 12th Grade

Used 56+ times

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which equation represent the problem: Find the number such that twice its square root is 14?

$2\sqrt{x}\ =\ 14$

$\sqrt{2x}\ =\ 14$

$2\ +\sqrt{x}\ =\ 14$

$\sqrt{x\ +\ 2}\ =\ 14$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the number such that twice its square root is 14.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which equation represents the problem below?
"The shorter leg of a right triangle is 9 cm and the longer leg is 12 cm. How long is the hypotenuse?"

$x^2\ =\ 12^2\ -\ 9^2$

$x^2\ +\ 12^2\ =\ 9^2$

$x^2\ =\ 9^2\ +\ 12^2$

$x\ =\ 12^2\ +\ 9^2$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

The shorter leg of a right triangle is 9 cm and the longer leg is 12 cm. How long is the hypotenuse?

$3\sqrt{7}$ cm

15 cm

11 cm

$\sqrt{63}$ cm

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What formula can be used to solve the problem: "What is the length of the side of a square whose diagonal is 18cm?"

$A\ =\ s^2$

$A\ =\pi r^2$

$c^2\ =\ a^2\ +\ b^2$

$A=\ \frac{1}{2}bh$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which equation represent the problem: "What is the length of the side of a square whose diagonal is 16cm?"

$16\ =x^2$

$16\ =\ 3.14x^2$

$16^2\ =\ x^2\ +\ x^2$

$16\ =\ \frac{1}{2}x^2$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

What is the length of the side of a square whose diagonal is 16cm?

$8\ cm$

$4\ cm$

$64\sqrt{2}\ cm$

$8\sqrt{2}\ cm$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If a 3-storey building is 24 meters high, using the formula: $d\ =\sqrt{\frac{3h}{2}}$ For sight distance where d is the distance in miles and h is the height where the person is, how far can you see the building on a clear day?

$8\ miles$

$6\ miles$

$36\ miles$

$6\sqrt{2\ }\ miles$

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the side of the square whose area is 200 square inches.

$10\ inches$

$20\ inches$

$2\sqrt{10}\ inches$

$10\sqrt{2}\ inches$

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Problems Involving Radicals

Which equation represent the problem: Find the number such that twice its square root is 14?

Find the number such that twice its square root is 14.

Which equation represents the problem below?"The shorter leg of a right triangle is 9 cm and the longer leg is 12 cm. How long is the hypotenuse?"

The shorter leg of a right triangle is 9 cm and the longer leg is 12 cm. How long is the hypotenuse?

What formula can be used to solve the problem: "What is the length of the side of a square whose diagonal is 18cm?"

Which equation represent the problem: "What is the length of the side of a square whose diagonal is 16cm?"

What is the length of the side of a square whose diagonal is 16cm?

If a 3-storey building is 24 meters high, using the formula: d =3h2d\ =\sqrt{\frac{3h}{2}}d =23h​​ For sight distance where d is the distance in miles and h is the height where the person is, how far can you see the building on a clear day?

Find the side of the square whose area is 200 square inches.

You have P1000 and want it to grow to P2,000 in 5 Years, what interest rate do you need? The formula is given where FV is future value, PV is is present value and n is the term in years.

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Which equation represents the problem below?
"The shorter leg of a right triangle is 9 cm and the longer leg is 12 cm. How long is the hypotenuse?"

If a 3-storey building is 24 meters high, using the formula: $d\ =\sqrt{\frac{3h}{2}}$ For sight distance where d is the distance in miles and h is the height where the person is, how far can you see the building on a clear day?