Can someone help me solve these radical equations? (3√5 – 7) (√5+2) and 15√72 - 4√98?

Question

The equations are

(3√5 – 7) (√5+2)

and

15√72 - 4√98

Answer 1

1.)1-√5 ....answer

(3√5 – 7) (√5+2)
(3*5+6√5-7√5-14)
(15+(6-7)√5-14)
(1-√5)

2.) 62* √2....answer

15√72 - 4√98
(15√(3^2 *2^2 *2) ) -(4√(7^2 *2))
15*3*2*√2 - 7*4*√2
90√2 -28√2
√2( 90-28)
62√2

Answer 2

First of all, these aren't equations. They're just expressions. So there's nothing to "solve". But you can SIMPLIFY them.

For the first one, just use the "FOIL" technique or the distributive rule twice:
(3√5 - 7) (√5+2) =
3√5√5 - 7√5 + 6√5 - 14 =
3*5 - 7√5 + 6√5 - 14 =
15 - √5 - 14 =
1 - √5

For the second one, try to factor out numbers that are perfect squares:
15√72 - 4√98 =
15√(9*8) - 4√(49*2) =
15*3√8 - 4*7√2 =
45√8 - 28√2 =
45√(4*2) - 28√2 =
45*2√(2) - 28√2 =
90√2 - 28√2 =
62√2

Answer 3

These are not equations but are expressions. You can tell because there is no = sign anywhere. We can simplify these expressions as follows:
(3√5 – 7) (√5+2)
= (3√5(√5) +6(√5) – 7√5-14
3*5-√5 - 14 = 1 - √5

15√72 - 4√98
15√(36*2) - 4√(49*2)
= 15*6√2 - 4*7√2
=90√2 - 28√2 = 62√2

Answer 4

(3√5 – 7) (√5+2) =
3√5(√5+2) - 7(√5+2) =
3(√5)² + 6√5 - 7√5 - 14 =
3*5 - √5 - 14 =
15 - 14 - √5 = 1 - √5
Resposta: 1 -√5
><
15√72 - 4√98
72|2
36|2
18|2
09|3
03|3
01
√72 = 2³ * 3²
98|2
49|7
07|7
01
√98 = 2 * 7²
So,
15√72 - 4√98 =
15 * √(2³*3²) - 4√(2 * 7²) =
(15*3*2√2) - (4*7* √2) =
90√2 - 28√2 = 62√2
Respsota: 62 times√2
:=:=:=:

Answer 5

Hello

(3√5 – 7) (√5+2) -- First step is to muliply.

Thus we get (3*5) + 6√5 - 7√5 - 14
Simplified this is 15 - √5 -14 ===== 1-√5

Next, 15√72 - 4√98
First step is to simplify to get 15(√36)(√2) - 4(√49)(√2)

This equals 15(6)(√2) - 4(7)(√2) == 90√2 - 28√2 = 62√2.

Hope this helps

Answer 6

1)
(3√5 – 7) (√5+2)
=3√5*√5+3√5*2-7*√5-7*2
=15+6√5-7√5-14
=1-√5

2)
15√72 - 4√98
=(15√3*3*2*2*2)-4√7*7*2
=15*3*2√2-4*7√2
=90√2-28√2
=62√2

Answer 7

1- √5 and

90√2 - 14√2 = 62√2

Answer 8

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Answer 9

3*5 -14 +6√5 - 7√5

15 -14 -√5 = 1-√5

Answer 10

i think the top one is 3 times the square root of 5-7 times the square root of 5+2 right? then its 1.3475237

the bottom should be 9.8994949